Finding the Fourth Proportional to 1,755.50, 2,422.94 and 1,009.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,755.50 : 2,422.94 = 1,009.64 : x
2. Step 2: Convert to fraction form
   1,755.50/2,422.94 = 1,009.64/x
3. Step 3: Cross multiply
   1,755.50x = 2,422.94 × 1,009.64
4. Step 4: Simplify right side
   1,755.50x = 2,446,298.15
5. Step 5: Solve for x
   x = 2,446,298.15/1,755.50
6. Step 6: Final answer
   x = 1,393.51