Finding the Fourth Proportional to 2,149.51, 3,223.86 and 762.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,149.51 : 3,223.86 = 762.79 : x
2. Step 2: Convert to fraction form
   2,149.51/3,223.86 = 762.79/x
3. Step 3: Cross multiply
   2,149.51x = 3,223.86 × 762.79
4. Step 4: Simplify right side
   2,149.51x = 2,459,128.17
5. Step 5: Solve for x
   x = 2,459,128.17/2,149.51
6. Step 6: Final answer
   x = 1,144.04