Finding the Fourth Proportional to 7,256.16, 10,861.12 and 5,778.72

Step by Step Solution

1. Step 1: Write the proportion equation
   7,256.16 : 10,861.12 = 5,778.72 : x
2. Step 2: Convert to fraction form
   7,256.16/10,861.12 = 5,778.72/x
3. Step 3: Cross multiply
   7,256.16x = 10,861.12 × 5,778.72
4. Step 4: Simplify right side
   7,256.16x = 62,763,371.37
5. Step 5: Solve for x
   x = 62,763,371.37/7,256.16
6. Step 6: Final answer
   x = 8,649.67