Finding the Fourth Proportional to 1,009.59, 1,393.17 and 616.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.59 : 1,393.17 = 616.53 : x
2. Step 2: Convert to fraction form
   1,009.59/1,393.17 = 616.53/x
3. Step 3: Cross multiply
   1,009.59x = 1,393.17 × 616.53
4. Step 4: Simplify right side
   1,009.59x = 858,931.10
5. Step 5: Solve for x
   x = 858,931.10/1,009.59
6. Step 6: Final answer
   x = 850.77