Finding the Fourth Proportional to 1,097.71, 1,514.15 and 766.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.71 : 1,514.15 = 766.02 : x
2. Step 2: Convert to fraction form
   1,097.71/1,514.15 = 766.02/x
3. Step 3: Cross multiply
   1,097.71x = 1,514.15 × 766.02
4. Step 4: Simplify right side
   1,097.71x = 1,159,865.39
5. Step 5: Solve for x
   x = 1,159,865.39/1,097.71
6. Step 6: Final answer
   x = 1,056.62