Finding the Fourth Proportional to 1,002.50, 1,383.51 and 560.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.50 : 1,383.51 = 560.48 : x
2. Step 2: Convert to fraction form
   1,002.50/1,383.51 = 560.48/x
3. Step 3: Cross multiply
   1,002.50x = 1,383.51 × 560.48
4. Step 4: Simplify right side
   1,002.50x = 775,422.77
5. Step 5: Solve for x
   x = 775,422.77/1,002.50
6. Step 6: Final answer
   x = 773.49