Finding the Fourth Proportional to 10,464.35, 14,440.32 and 5,748.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.35 : 14,440.32 = 5,748.75 : x
2. Step 2: Convert to fraction form
   10,464.35/14,440.32 = 5,748.75/x
3. Step 3: Cross multiply
   10,464.35x = 14,440.32 × 5,748.75
4. Step 4: Simplify right side
   10,464.35x = 83,013,789.60
5. Step 5: Solve for x
   x = 83,013,789.60/10,464.35
6. Step 6: Final answer
   x = 7,933.01