Finding the Fourth Proportional to 1,114.86, 1,538.52 and 617.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.86 : 1,538.52 = 617.49 : x
2. Step 2: Convert to fraction form
   1,114.86/1,538.52 = 617.49/x
3. Step 3: Cross multiply
   1,114.86x = 1,538.52 × 617.49
4. Step 4: Simplify right side
   1,114.86x = 950,020.71
5. Step 5: Solve for x
   x = 950,020.71/1,114.86
6. Step 6: Final answer
   x = 852.14