Finding the Fourth Proportional to 1,114.82, 1,538.42 and 617.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.82 : 1,538.42 = 617.48 : x
2. Step 2: Convert to fraction form
   1,114.82/1,538.42 = 617.48/x
3. Step 3: Cross multiply
   1,114.82x = 1,538.42 × 617.48
4. Step 4: Simplify right side
   1,114.82x = 949,932.80
5. Step 5: Solve for x
   x = 949,932.80/1,114.82
6. Step 6: Final answer
   x = 852.10