Finding the Fourth Proportional to 55,641, 76,784.64 and 30,490.56

Step by Step Solution

1. Step 1: Write the proportion equation
   55,641 : 76,784.64 = 30,490.56 : x
2. Step 2: Convert to fraction form
   55,641/76,784.64 = 30,490.56/x
3. Step 3: Cross multiply
   55,641x = 76,784.64 × 30,490.56
4. Step 4: Simplify right side
   55,641x = 2,341,206,673.00
5. Step 5: Solve for x
   x = 2,341,206,673.00/55,641
6. Step 6: Final answer
   x = 42,077.01