Finding the Fourth Proportional to 2,149.57, 3,223.89 and 762.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,149.57 : 3,223.89 = 762.95 : x
2. Step 2: Convert to fraction form
   2,149.57/3,223.89 = 762.95/x
3. Step 3: Cross multiply
   2,149.57x = 3,223.89 × 762.95
4. Step 4: Simplify right side
   2,149.57x = 2,459,666.88
5. Step 5: Solve for x
   x = 2,459,666.88/2,149.57
6. Step 6: Final answer
   x = 1,144.26