Finding the Fourth Proportional to 1,097.30, 1,511.69 and 765.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.30 : 1,511.69 = 765.14 : x
2. Step 2: Convert to fraction form
   1,097.30/1,511.69 = 765.14/x
3. Step 3: Cross multiply
   1,097.30x = 1,511.69 × 765.14
4. Step 4: Simplify right side
   1,097.30x = 1,156,643.10
5. Step 5: Solve for x
   x = 1,156,643.10/1,097.30
6. Step 6: Final answer
   x = 1,054.08