Finding the Fourth Proportional to 10,493.29, 14,480.53 and 5,777.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.29 : 14,480.53 = 5,777.65 : x
2. Step 2: Convert to fraction form
   10,493.29/14,480.53 = 5,777.65/x
3. Step 3: Cross multiply
   10,493.29x = 14,480.53 × 5,777.65
4. Step 4: Simplify right side
   10,493.29x = 83,663,434.15
5. Step 5: Solve for x
   x = 83,663,434.15/10,493.29
6. Step 6: Final answer
   x = 7,973.04