Finding the Fourth Proportional to 10,468.78, 14,446.75 and 5,752.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,468.78 : 14,446.75 = 5,752.96 : x
2. Step 2: Convert to fraction form
   10,468.78/14,446.75 = 5,752.96/x
3. Step 3: Cross multiply
   10,468.78x = 14,446.75 × 5,752.96
4. Step 4: Simplify right side
   10,468.78x = 83,111,473.88
5. Step 5: Solve for x
   x = 83,111,473.88/10,468.78
6. Step 6: Final answer
   x = 7,938.99