Finding the Fourth Proportional to 10,493.12, 14,480.52 and 5,777.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.12 : 14,480.52 = 5,777.40 : x
2. Step 2: Convert to fraction form
   10,493.12/14,480.52 = 5,777.40/x
3. Step 3: Cross multiply
   10,493.12x = 14,480.52 × 5,777.40
4. Step 4: Simplify right side
   10,493.12x = 83,659,821.38
5. Step 5: Solve for x
   x = 83,659,821.38/10,493.12
6. Step 6: Final answer
   x = 7,972.82