Finding the Fourth Proportional to 2,552.91, 3,828.56 and 992.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.91 : 3,828.56 = 992.81 : x
2. Step 2: Convert to fraction form
   2,552.91/3,828.56 = 992.81/x
3. Step 3: Cross multiply
   2,552.91x = 3,828.56 × 992.81
4. Step 4: Simplify right side
   2,552.91x = 3,801,008.55
5. Step 5: Solve for x
   x = 3,801,008.55/2,552.91
6. Step 6: Final answer
   x = 1,488.89