Finding the Fourth Proportional to 10,465.25, 14,441.63 and 5,749.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.25 : 14,441.63 = 5,749.02 : x
2. Step 2: Convert to fraction form
   10,465.25/14,441.63 = 5,749.02/x
3. Step 3: Cross multiply
   10,465.25x = 14,441.63 × 5,749.02
4. Step 4: Simplify right side
   10,465.25x = 83,025,190.96
5. Step 5: Solve for x
   x = 83,025,190.96/10,465.25
6. Step 6: Final answer
   x = 7,933.42