Finding the Fourth Proportional to 10,468.14, 14,445.74 and 5,752.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,468.14 : 14,445.74 = 5,752.42 : x
2. Step 2: Convert to fraction form
   10,468.14/14,445.74 = 5,752.42/x
3. Step 3: Cross multiply
   10,468.14x = 14,445.74 × 5,752.42
4. Step 4: Simplify right side
   10,468.14x = 83,097,941.96
5. Step 5: Solve for x
   x = 83,097,941.96/10,468.14
6. Step 6: Final answer
   x = 7,938.18