Finding the Fourth Proportional to 1,097.78, 1,514.58 and 747.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.78 : 1,514.58 = 747.86 : x
2. Step 2: Convert to fraction form
   1,097.78/1,514.58 = 747.86/x
3. Step 3: Cross multiply
   1,097.78x = 1,514.58 × 747.86
4. Step 4: Simplify right side
   1,097.78x = 1,132,693.80
5. Step 5: Solve for x
   x = 1,132,693.80/1,097.78
6. Step 6: Final answer
   x = 1,031.80