Finding the Fourth Proportional to 10,493.38, 14,480.86 and 5,777.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.38 : 14,480.86 = 5,777.66 : x
2. Step 2: Convert to fraction form
   10,493.38/14,480.86 = 5,777.66/x
3. Step 3: Cross multiply
   10,493.38x = 14,480.86 × 5,777.66
4. Step 4: Simplify right side
   10,493.38x = 83,665,485.59
5. Step 5: Solve for x
   x = 83,665,485.59/10,493.38
6. Step 6: Final answer
   x = 7,973.17