Finding the Fourth Proportional to 2,552.57, 3,829.10 and 992.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.57 : 3,829.10 = 992.69 : x
2. Step 2: Convert to fraction form
   2,552.57/3,829.10 = 992.69/x
3. Step 3: Cross multiply
   2,552.57x = 3,829.10 × 992.69
4. Step 4: Simplify right side
   2,552.57x = 3,801,113.89
5. Step 5: Solve for x
   x = 3,801,113.89/2,552.57
6. Step 6: Final answer
   x = 1,489.14