Finding the Fourth Proportional to 2,326.55, 3,490.20 and 766.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,326.55 : 3,490.20 = 766.10 : x
2. Step 2: Convert to fraction form
   2,326.55/3,490.20 = 766.10/x
3. Step 3: Cross multiply
   2,326.55x = 3,490.20 × 766.10
4. Step 4: Simplify right side
   2,326.55x = 2,673,842.22
5. Step 5: Solve for x
   x = 2,673,842.22/2,326.55
6. Step 6: Final answer
   x = 1,149.27