Finding the Fourth Proportional to 1,082.50, 1,493.86 and 616.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.50 : 1,493.86 = 616.75 : x
2. Step 2: Convert to fraction form
   1,082.50/1,493.86 = 616.75/x
3. Step 3: Cross multiply
   1,082.50x = 1,493.86 × 616.75
4. Step 4: Simplify right side
   1,082.50x = 921,338.16
5. Step 5: Solve for x
   x = 921,338.16/1,082.50
6. Step 6: Final answer
   x = 851.12