Finding the Fourth Proportional to 1,114.59, 1,538.15 and 617.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.59 : 1,538.15 = 617.21 : x
2. Step 2: Convert to fraction form
   1,114.59/1,538.15 = 617.21/x
3. Step 3: Cross multiply
   1,114.59x = 1,538.15 × 617.21
4. Step 4: Simplify right side
   1,114.59x = 949,350.78
5. Step 5: Solve for x
   x = 949,350.78/1,114.59
6. Step 6: Final answer
   x = 851.75