Finding the Fourth Proportional to 1,097.23, 1,511.61 and 765.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.23 : 1,511.61 = 765.07 : x
2. Step 2: Convert to fraction form
   1,097.23/1,511.61 = 765.07/x
3. Step 3: Cross multiply
   1,097.23x = 1,511.61 × 765.07
4. Step 4: Simplify right side
   1,097.23x = 1,156,479.90
5. Step 5: Solve for x
   x = 1,156,479.90/1,097.23
6. Step 6: Final answer
   x = 1,054.00