Finding the Fourth Proportional to 10,491.14, 14,477.37 and 5,775.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.14 : 14,477.37 = 5,775.41 : x
2. Step 2: Convert to fraction form
   10,491.14/14,477.37 = 5,775.41/x
3. Step 3: Cross multiply
   10,491.14x = 14,477.37 × 5,775.41
4. Step 4: Simplify right side
   10,491.14x = 83,612,747.47
5. Step 5: Solve for x
   x = 83,612,747.47/10,491.14
6. Step 6: Final answer
   x = 7,969.84