Finding the Fourth Proportional to 1,114.92, 1,538.04 and 742.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.92 : 1,538.04 = 742.56 : x
2. Step 2: Convert to fraction form
   1,114.92/1,538.04 = 742.56/x
3. Step 3: Cross multiply
   1,114.92x = 1,538.04 × 742.56
4. Step 4: Simplify right side
   1,114.92x = 1,142,086.98
5. Step 5: Solve for x
   x = 1,142,086.98/1,114.92
6. Step 6: Final answer
   x = 1,024.37