Finding the Fourth Proportional to 2,552.16, 3,827.43 and 992.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.16 : 3,827.43 = 992.06 : x
2. Step 2: Convert to fraction form
   2,552.16/3,827.43 = 992.06/x
3. Step 3: Cross multiply
   2,552.16x = 3,827.43 × 992.06
4. Step 4: Simplify right side
   2,552.16x = 3,797,021.07
5. Step 5: Solve for x
   x = 3,797,021.07/2,552.16
6. Step 6: Final answer
   x = 1,487.77