Finding the Fourth Proportional to 10,493.40, 14,480.90 and 5,777.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.40 : 14,480.90 = 5,777.68 : x
2. Step 2: Convert to fraction form
   10,493.40/14,480.90 = 5,777.68/x
3. Step 3: Cross multiply
   10,493.40x = 14,480.90 × 5,777.68
4. Step 4: Simplify right side
   10,493.40x = 83,666,006.31
5. Step 5: Solve for x
   x = 83,666,006.31/10,493.40
6. Step 6: Final answer
   x = 7,973.20