Finding the Fourth Proportional to 1,114.95, 1,538.56 and 617.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.95 : 1,538.56 = 617.55 : x
2. Step 2: Convert to fraction form
   1,114.95/1,538.56 = 617.55/x
3. Step 3: Cross multiply
   1,114.95x = 1,538.56 × 617.55
4. Step 4: Simplify right side
   1,114.95x = 950,137.73
5. Step 5: Solve for x
   x = 950,137.73/1,114.95
6. Step 6: Final answer
   x = 852.18