Finding the Fourth Proportional to 10,465.42, 14,441.74 and 5,748.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.42 : 14,441.74 = 5,748.80 : x
2. Step 2: Convert to fraction form
   10,465.42/14,441.74 = 5,748.80/x
3. Step 3: Cross multiply
   10,465.42x = 14,441.74 × 5,748.80
4. Step 4: Simplify right side
   10,465.42x = 83,022,674.91
5. Step 5: Solve for x
   x = 83,022,674.91/10,465.42
6. Step 6: Final answer
   x = 7,933.05