Finding the Fourth Proportional to 10,493.67, 14,481.31 and 5,777.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.67 : 14,481.31 = 5,777.94 : x
2. Step 2: Convert to fraction form
   10,493.67/14,481.31 = 5,777.94/x
3. Step 3: Cross multiply
   10,493.67x = 14,481.31 × 5,777.94
4. Step 4: Simplify right side
   10,493.67x = 83,672,140.30
5. Step 5: Solve for x
   x = 83,672,140.30/10,493.67
6. Step 6: Final answer
   x = 7,973.59