Finding the Fourth Proportional to 10,964.16, 16,433.28 and 5,767.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,964.16 : 16,433.28 = 5,767.20 : x
2. Step 2: Convert to fraction form
   10,964.16/16,433.28 = 5,767.20/x
3. Step 3: Cross multiply
   10,964.16x = 16,433.28 × 5,767.20
4. Step 4: Simplify right side
   10,964.16x = 94,774,012.42
5. Step 5: Solve for x
   x = 94,774,012.42/10,964.16
6. Step 6: Final answer
   x = 8,643.98