Finding the Fourth Proportional to 2,154.02, 3,229.57 and 766.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,154.02 : 3,229.57 = 766.59 : x
2. Step 2: Convert to fraction form
   2,154.02/3,229.57 = 766.59/x
3. Step 3: Cross multiply
   2,154.02x = 3,229.57 × 766.59
4. Step 4: Simplify right side
   2,154.02x = 2,475,754.00
5. Step 5: Solve for x
   x = 2,475,754.00/2,154.02
6. Step 6: Final answer
   x = 1,149.37