Finding the Fourth Proportional to 5,684.77, 7,788.18 and 5,471.71

Step by Step Solution

1. Step 1: Write the proportion equation
   5,684.77 : 7,788.18 = 5,471.71 : x
2. Step 2: Convert to fraction form
   5,684.77/7,788.18 = 5,471.71/x
3. Step 3: Cross multiply
   5,684.77x = 7,788.18 × 5,471.71
4. Step 4: Simplify right side
   5,684.77x = 42,614,635.03
5. Step 5: Solve for x
   x = 42,614,635.03/5,684.77
6. Step 6: Final answer
   x = 7,496.28