Finding the Fourth Proportional to 1,097.55, 1,514.70 and 748.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.55 : 1,514.70 = 748.71 : x
2. Step 2: Convert to fraction form
   1,097.55/1,514.70 = 748.71/x
3. Step 3: Cross multiply
   1,097.55x = 1,514.70 × 748.71
4. Step 4: Simplify right side
   1,097.55x = 1,134,071.04
5. Step 5: Solve for x
   x = 1,134,071.04/1,097.55
6. Step 6: Final answer
   x = 1,033.28