Finding the Fourth Proportional to 1,097.31, 1,511.70 and 765.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.31 : 1,511.70 = 765.12 : x
2. Step 2: Convert to fraction form
   1,097.31/1,511.70 = 765.12/x
3. Step 3: Cross multiply
   1,097.31x = 1,511.70 × 765.12
4. Step 4: Simplify right side
   1,097.31x = 1,156,631.90
5. Step 5: Solve for x
   x = 1,156,631.90/1,097.31
6. Step 6: Final answer
   x = 1,054.06