Finding the Fourth Proportional to 6,002.88, 8,277.72 and 5,166.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,002.88 : 8,277.72 = 5,166.24 : x
2. Step 2: Convert to fraction form
   6,002.88/8,277.72 = 5,166.24/x
3. Step 3: Cross multiply
   6,002.88x = 8,277.72 × 5,166.24
4. Step 4: Simplify right side
   6,002.88x = 42,764,688.17
5. Step 5: Solve for x
   x = 42,764,688.17/6,002.88
6. Step 6: Final answer
   x = 7,124.03