Finding the Fourth Proportional to 2,551.56, 3,827.58 and 992.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,551.56 : 3,827.58 = 992.31 : x
2. Step 2: Convert to fraction form
   2,551.56/3,827.58 = 992.31/x
3. Step 3: Cross multiply
   2,551.56x = 3,827.58 × 992.31
4. Step 4: Simplify right side
   2,551.56x = 3,798,145.91
5. Step 5: Solve for x
   x = 3,798,145.91/2,551.56
6. Step 6: Final answer
   x = 1,488.56