Finding the Fourth Proportional to 10,493.47, 14,480.33 and 5,777.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.47 : 14,480.33 = 5,777.75 : x
2. Step 2: Convert to fraction form
   10,493.47/14,480.33 = 5,777.75/x
3. Step 3: Cross multiply
   10,493.47x = 14,480.33 × 5,777.75
4. Step 4: Simplify right side
   10,493.47x = 83,663,726.66
5. Step 5: Solve for x
   x = 83,663,726.66/10,493.47
6. Step 6: Final answer
   x = 7,972.93