Finding the Fourth Proportional to 731,978.42, 1,009,899.96 and 409,637.30

Step by Step Solution

1. Step 1: Write the proportion equation
   731,978.42 : 1,009,899.96 = 409,637.30 : x
2. Step 2: Convert to fraction form
   731,978.42/1,009,899.96 = 409,637.30/x
3. Step 3: Cross multiply
   731,978.42x = 1,009,899.96 × 409,637.30
4. Step 4: Simplify right side
   731,978.42x = 413,692,692,884.51
5. Step 5: Solve for x
   x = 413,692,692,884.51/731,978.42
6. Step 6: Final answer
   x = 565,170.61