Finding the Fourth Proportional to 11,881.42, 16,396.32 and 7,165.96

Step by Step Solution

1. Step 1: Write the proportion equation
   11,881.42 : 16,396.32 = 7,165.96 : x
2. Step 2: Convert to fraction form
   11,881.42/16,396.32 = 7,165.96/x
3. Step 3: Cross multiply
   11,881.42x = 16,396.32 × 7,165.96
4. Step 4: Simplify right side
   11,881.42x = 117,495,373.27
5. Step 5: Solve for x
   x = 117,495,373.27/11,881.42
6. Step 6: Final answer
   x = 9,889.00