Finding the Fourth Proportional to 5,688.72, 7,848.20 and 4,200.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,688.72 : 7,848.20 = 4,200.24 : x
2. Step 2: Convert to fraction form
   5,688.72/7,848.20 = 4,200.24/x
3. Step 3: Cross multiply
   5,688.72x = 7,848.20 × 4,200.24
4. Step 4: Simplify right side
   5,688.72x = 32,964,323.57
5. Step 5: Solve for x
   x = 32,964,323.57/5,688.72
6. Step 6: Final answer
   x = 5,794.68