Finding the Fourth Proportional to 6,294.78, 8,684.82 and 3,641.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,294.78 : 8,684.82 = 3,641.76 : x
2. Step 2: Convert to fraction form
   6,294.78/8,684.82 = 3,641.76/x
3. Step 3: Cross multiply
   6,294.78x = 8,684.82 × 3,641.76
4. Step 4: Simplify right side
   6,294.78x = 31,628,030.08
5. Step 5: Solve for x
   x = 31,628,030.08/6,294.78
6. Step 6: Final answer
   x = 5,024.49