Finding the Fourth Proportional to 1,096.11, 1,513.59 and 765.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.11 : 1,513.59 = 765.21 : x
2. Step 2: Convert to fraction form
   1,096.11/1,513.59 = 765.21/x
3. Step 3: Cross multiply
   1,096.11x = 1,513.59 × 765.21
4. Step 4: Simplify right side
   1,096.11x = 1,158,214.20
5. Step 5: Solve for x
   x = 1,158,214.20/1,096.11
6. Step 6: Final answer
   x = 1,056.66