Finding the Fourth Proportional to 2,552.06, 3,828.34 and 992.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.06 : 3,828.34 = 992.82 : x
2. Step 2: Convert to fraction form
   2,552.06/3,828.34 = 992.82/x
3. Step 3: Cross multiply
   2,552.06x = 3,828.34 × 992.82
4. Step 4: Simplify right side
   2,552.06x = 3,800,852.52
5. Step 5: Solve for x
   x = 3,800,852.52/2,552.06
6. Step 6: Final answer
   x = 1,489.33