Finding the Fourth Proportional to 5,666.72, 7,817.88 and 4,178.18

Step by Step Solution

1. Step 1: Write the proportion equation
   5,666.72 : 7,817.88 = 4,178.18 : x
2. Step 2: Convert to fraction form
   5,666.72/7,817.88 = 4,178.18/x
3. Step 3: Cross multiply
   5,666.72x = 7,817.88 × 4,178.18
4. Step 4: Simplify right side
   5,666.72x = 32,664,509.86
5. Step 5: Solve for x
   x = 32,664,509.86/5,666.72
6. Step 6: Final answer
   x = 5,764.27