Finding the Fourth Proportional to 5,647.34, 7,790.24 and 3,971.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,647.34 : 7,790.24 = 3,971.32 : x
2. Step 2: Convert to fraction form
   5,647.34/7,790.24 = 3,971.32/x
3. Step 3: Cross multiply
   5,647.34x = 7,790.24 × 3,971.32
4. Step 4: Simplify right side
   5,647.34x = 30,937,535.92
5. Step 5: Solve for x
   x = 30,937,535.92/5,647.34
6. Step 6: Final answer
   x = 5,478.25