Finding the Fourth Proportional to 4,196.59, 6,306.42 and 3,922.30

Step by Step Solution

1. Step 1: Write the proportion equation
   4,196.59 : 6,306.42 = 3,922.30 : x
2. Step 2: Convert to fraction form
   4,196.59/6,306.42 = 3,922.30/x
3. Step 3: Cross multiply
   4,196.59x = 6,306.42 × 3,922.30
4. Step 4: Simplify right side
   4,196.59x = 24,735,671.17
5. Step 5: Solve for x
   x = 24,735,671.17/4,196.59
6. Step 6: Final answer
   x = 5,894.23