Finding the Fourth Proportional to 1,114.69, 1,538.29 and 617.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.69 : 1,538.29 = 617.35 : x
2. Step 2: Convert to fraction form
   1,114.69/1,538.29 = 617.35/x
3. Step 3: Cross multiply
   1,114.69x = 1,538.29 × 617.35
4. Step 4: Simplify right side
   1,114.69x = 949,663.33
5. Step 5: Solve for x
   x = 949,663.33/1,114.69
6. Step 6: Final answer
   x = 851.95