Finding the Fourth Proportional to 1,114.93, 1,538.59 and 617.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.93 : 1,538.59 = 617.60 : x
2. Step 2: Convert to fraction form
   1,114.93/1,538.59 = 617.60/x
3. Step 3: Cross multiply
   1,114.93x = 1,538.59 × 617.60
4. Step 4: Simplify right side
   1,114.93x = 950,229.72
5. Step 5: Solve for x
   x = 950,229.72/1,114.93
6. Step 6: Final answer
   x = 852.28