Finding the Fourth Proportional to 10,493.40, 14,481 and 5,778.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.40 : 14,481 = 5,778.12 : x
2. Step 2: Convert to fraction form
   10,493.40/14,481 = 5,778.12/x
3. Step 3: Cross multiply
   10,493.40x = 14,481 × 5,778.12
4. Step 4: Simplify right side
   10,493.40x = 83,672,955.72
5. Step 5: Solve for x
   x = 83,672,955.72/10,493.40
6. Step 6: Final answer
   x = 7,973.87