Finding the Fourth Proportional to 16,117.64, 24,165.82 and 7,781.16

Step by Step Solution

1. Step 1: Write the proportion equation
   16,117.64 : 24,165.82 = 7,781.16 : x
2. Step 2: Convert to fraction form
   16,117.64/24,165.82 = 7,781.16/x
3. Step 3: Cross multiply
   16,117.64x = 24,165.82 × 7,781.16
4. Step 4: Simplify right side
   16,117.64x = 188,038,111.95
5. Step 5: Solve for x
   x = 188,038,111.95/16,117.64
6. Step 6: Final answer
   x = 11,666.60