Finding the Fourth Proportional to 5,684.96, 7,847.88 and 4,007.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,684.96 : 7,847.88 = 4,007.72 : x
2. Step 2: Convert to fraction form
   5,684.96/7,847.88 = 4,007.72/x
3. Step 3: Cross multiply
   5,684.96x = 7,847.88 × 4,007.72
4. Step 4: Simplify right side
   5,684.96x = 31,452,105.63
5. Step 5: Solve for x
   x = 31,452,105.63/5,684.96
6. Step 6: Final answer
   x = 5,532.51