Finding the Fourth Proportional to 10,491.06, 14,477.76 and 5,775.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.06 : 14,477.76 = 5,775.42 : x
2. Step 2: Convert to fraction form
   10,491.06/14,477.76 = 5,775.42/x
3. Step 3: Cross multiply
   10,491.06x = 14,477.76 × 5,775.42
4. Step 4: Simplify right side
   10,491.06x = 83,615,144.66
5. Step 5: Solve for x
   x = 83,615,144.66/10,491.06
6. Step 6: Final answer
   x = 7,970.13