Finding the Fourth Proportional to 1,097.37, 1,514.39 and 748.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.37 : 1,514.39 = 748.17 : x
2. Step 2: Convert to fraction form
   1,097.37/1,514.39 = 748.17/x
3. Step 3: Cross multiply
   1,097.37x = 1,514.39 × 748.17
4. Step 4: Simplify right side
   1,097.37x = 1,133,017.43
5. Step 5: Solve for x
   x = 1,133,017.43/1,097.37
6. Step 6: Final answer
   x = 1,032.48