Finding the Fourth Proportional to 5,686.89, 7,844.91 and 3,915.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,686.89 : 7,844.91 = 3,915.42 : x
2. Step 2: Convert to fraction form
   5,686.89/7,844.91 = 3,915.42/x
3. Step 3: Cross multiply
   5,686.89x = 7,844.91 × 3,915.42
4. Step 4: Simplify right side
   5,686.89x = 30,716,117.51
5. Step 5: Solve for x
   x = 30,716,117.51/5,686.89
6. Step 6: Final answer
   x = 5,401.22