Finding the Fourth Proportional to 5,677.89, 8,494.97 and 3,820.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677.89 : 8,494.97 = 3,820.16 : x
2. Step 2: Convert to fraction form
   5,677.89/8,494.97 = 3,820.16/x
3. Step 3: Cross multiply
   5,677.89x = 8,494.97 × 3,820.16
4. Step 4: Simplify right side
   5,677.89x = 32,452,083.02
5. Step 5: Solve for x
   x = 32,452,083.02/5,677.89
6. Step 6: Final answer
   x = 5,715.52