Finding the Fourth Proportional to 10,464.62, 14,441.16 and 5,748.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.62 : 14,441.16 = 5,748.86 : x
2. Step 2: Convert to fraction form
   10,464.62/14,441.16 = 5,748.86/x
3. Step 3: Cross multiply
   10,464.62x = 14,441.16 × 5,748.86
4. Step 4: Simplify right side
   10,464.62x = 83,020,207.08
5. Step 5: Solve for x
   x = 83,020,207.08/10,464.62
6. Step 6: Final answer
   x = 7,933.42