Finding the Fourth Proportional to 11,827.72, 17,747.52 and 7,881.64

Step by Step Solution

1. Step 1: Write the proportion equation
   11,827.72 : 17,747.52 = 7,881.64 : x
2. Step 2: Convert to fraction form
   11,827.72/17,747.52 = 7,881.64/x
3. Step 3: Cross multiply
   11,827.72x = 17,747.52 × 7,881.64
4. Step 4: Simplify right side
   11,827.72x = 139,879,563.53
5. Step 5: Solve for x
   x = 139,879,563.53/11,827.72
6. Step 6: Final answer
   x = 11,826.42