Finding the Fourth Proportional to 16,314.10, 24,470.16 and 5,784.64

Step by Step Solution

1. Step 1: Write the proportion equation
   16,314.10 : 24,470.16 = 5,784.64 : x
2. Step 2: Convert to fraction form
   16,314.10/24,470.16 = 5,784.64/x
3. Step 3: Cross multiply
   16,314.10x = 24,470.16 × 5,784.64
4. Step 4: Simplify right side
   16,314.10x = 141,551,066.34
5. Step 5: Solve for x
   x = 141,551,066.34/16,314.10
6. Step 6: Final answer
   x = 8,676.61