Finding the Fourth Proportional to 10,465.56, 14,442.54 and 5,749.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.56 : 14,442.54 = 5,749.80 : x
2. Step 2: Convert to fraction form
   10,465.56/14,442.54 = 5,749.80/x
3. Step 3: Cross multiply
   10,465.56x = 14,442.54 × 5,749.80
4. Step 4: Simplify right side
   10,465.56x = 83,041,716.49
5. Step 5: Solve for x
   x = 83,041,716.49/10,465.56
6. Step 6: Final answer
   x = 7,934.76