Finding the Fourth Proportional to 1,116.32, 1,540.57 and 742.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,116.32 : 1,540.57 = 742.70 : x
2. Step 2: Convert to fraction form
   1,116.32/1,540.57 = 742.70/x
3. Step 3: Cross multiply
   1,116.32x = 1,540.57 × 742.70
4. Step 4: Simplify right side
   1,116.32x = 1,144,181.34
5. Step 5: Solve for x
   x = 1,144,181.34/1,116.32
6. Step 6: Final answer
   x = 1,024.96