Finding the Fourth Proportional to 16,116.64, 24,164.32 and 7,780.16

Step by Step Solution

1. Step 1: Write the proportion equation
   16,116.64 : 24,164.32 = 7,780.16 : x
2. Step 2: Convert to fraction form
   16,116.64/24,164.32 = 7,780.16/x
3. Step 3: Cross multiply
   16,116.64x = 24,164.32 × 7,780.16
4. Step 4: Simplify right side
   16,116.64x = 188,002,275.89
5. Step 5: Solve for x
   x = 188,002,275.89/16,116.64
6. Step 6: Final answer
   x = 11,665.10