Finding the Fourth Proportional to 10,493.52, 14,481.18 and 5,777.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.52 : 14,481.18 = 5,777.88 : x
2. Step 2: Convert to fraction form
   10,493.52/14,481.18 = 5,777.88/x
3. Step 3: Cross multiply
   10,493.52x = 14,481.18 × 5,777.88
4. Step 4: Simplify right side
   10,493.52x = 83,670,520.30
5. Step 5: Solve for x
   x = 83,670,520.30/10,493.52
6. Step 6: Final answer
   x = 7,973.54