Finding the Fourth Proportional to 1,105.91, 1,658.59 and 742.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.91 : 1,658.59 = 742.89 : x
2. Step 2: Convert to fraction form
   1,105.91/1,658.59 = 742.89/x
3. Step 3: Cross multiply
   1,105.91x = 1,658.59 × 742.89
4. Step 4: Simplify right side
   1,105.91x = 1,232,148.07
5. Step 5: Solve for x
   x = 1,232,148.07/1,105.91
6. Step 6: Final answer
   x = 1,114.15