Finding the Fourth Proportional to 10,464.23, 14,440.73 and 5,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.23 : 14,440.73 = 5,748.50 : x
2. Step 2: Convert to fraction form
   10,464.23/14,440.73 = 5,748.50/x
3. Step 3: Cross multiply
   10,464.23x = 14,440.73 × 5,748.50
4. Step 4: Simplify right side
   10,464.23x = 83,012,543.76
5. Step 5: Solve for x
   x = 83,012,543.76/10,464.23
6. Step 6: Final answer
   x = 7,932.99