Finding the Fourth Proportional to 9,680.42, 13,358.76 and 5,701.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680.42 : 13,358.76 = 5,701.70 : x
2. Step 2: Convert to fraction form
   9,680.42/13,358.76 = 5,701.70/x
3. Step 3: Cross multiply
   9,680.42x = 13,358.76 × 5,701.70
4. Step 4: Simplify right side
   9,680.42x = 76,167,641.89
5. Step 5: Solve for x
   x = 76,167,641.89/9,680.42
6. Step 6: Final answer
   x = 7,868.22