Finding the Fourth Proportional to 1,114.50, 1,538.01 and 617.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.50 : 1,538.01 = 617.14 : x
2. Step 2: Convert to fraction form
   1,114.50/1,538.01 = 617.14/x
3. Step 3: Cross multiply
   1,114.50x = 1,538.01 × 617.14
4. Step 4: Simplify right side
   1,114.50x = 949,162.50
5. Step 5: Solve for x
   x = 949,162.50/1,114.50
6. Step 6: Final answer
   x = 851.65