Finding the Fourth Proportional to 10,491.41, 14,478.20 and 5,775.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.41 : 14,478.20 = 5,775.69 : x
2. Step 2: Convert to fraction form
   10,491.41/14,478.20 = 5,775.69/x
3. Step 3: Cross multiply
   10,491.41x = 14,478.20 × 5,775.69
4. Step 4: Simplify right side
   10,491.41x = 83,621,587.74
5. Step 5: Solve for x
   x = 83,621,587.74/10,491.41
6. Step 6: Final answer
   x = 7,970.48