Finding the Fourth Proportional to 10,493.16, 14,480.64 and 5,778.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.16 : 14,480.64 = 5,778.24 : x
2. Step 2: Convert to fraction form
   10,493.16/14,480.64 = 5,778.24/x
3. Step 3: Cross multiply
   10,493.16x = 14,480.64 × 5,778.24
4. Step 4: Simplify right side
   10,493.16x = 83,672,613.27
5. Step 5: Solve for x
   x = 83,672,613.27/10,493.16
6. Step 6: Final answer
   x = 7,974.01