Finding the Fourth Proportional to 5,680.63, 7,839.64 and 3,162.71

Step by Step Solution

1. Step 1: Write the proportion equation
   5,680.63 : 7,839.64 = 3,162.71 : x
2. Step 2: Convert to fraction form
   5,680.63/7,839.64 = 3,162.71/x
3. Step 3: Cross multiply
   5,680.63x = 7,839.64 × 3,162.71
4. Step 4: Simplify right side
   5,680.63x = 24,794,507.82
5. Step 5: Solve for x
   x = 24,794,507.82/5,680.63
6. Step 6: Final answer
   x = 4,364.75