Finding the Fourth Proportional to 1,114.66, 1,538.17 and 617.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.66 : 1,538.17 = 617.34 : x
2. Step 2: Convert to fraction form
   1,114.66/1,538.17 = 617.34/x
3. Step 3: Cross multiply
   1,114.66x = 1,538.17 × 617.34
4. Step 4: Simplify right side
   1,114.66x = 949,573.87
5. Step 5: Solve for x
   x = 949,573.87/1,114.66
6. Step 6: Final answer
   x = 851.90