Finding the Fourth Proportional to 10,491.36, 14,478.12 and 5,775.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.36 : 14,478.12 = 5,775.72 : x
2. Step 2: Convert to fraction form
   10,491.36/14,478.12 = 5,775.72/x
3. Step 3: Cross multiply
   10,491.36x = 14,478.12 × 5,775.72
4. Step 4: Simplify right side
   10,491.36x = 83,621,567.25
5. Step 5: Solve for x
   x = 83,621,567.25/10,491.36
6. Step 6: Final answer
   x = 7,970.52