Finding the Fourth Proportional to 2,552.74, 3,827.67 and 886.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.74 : 3,827.67 = 886.08 : x
2. Step 2: Convert to fraction form
   2,552.74/3,827.67 = 886.08/x
3. Step 3: Cross multiply
   2,552.74x = 3,827.67 × 886.08
4. Step 4: Simplify right side
   2,552.74x = 3,391,621.83
5. Step 5: Solve for x
   x = 3,391,621.83/2,552.74
6. Step 6: Final answer
   x = 1,328.62