Finding the Fourth Proportional to 10,466.25, 14,443 and 5,750.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.25 : 14,443 = 5,750.02 : x
2. Step 2: Convert to fraction form
   10,466.25/14,443 = 5,750.02/x
3. Step 3: Cross multiply
   10,466.25x = 14,443 × 5,750.02
4. Step 4: Simplify right side
   10,466.25x = 83,047,538.86
5. Step 5: Solve for x
   x = 83,047,538.86/10,466.25
6. Step 6: Final answer
   x = 7,934.79