Finding the Fourth Proportional to 6,272.50, 8,656.10 and 3,478

Step by Step Solution

1. Step 1: Write the proportion equation
   6,272.50 : 8,656.10 = 3,478 : x
2. Step 2: Convert to fraction form
   6,272.50/8,656.10 = 3,478/x
3. Step 3: Cross multiply
   6,272.50x = 8,656.10 × 3,478
4. Step 4: Simplify right side
   6,272.50x = 30,105,915.80
5. Step 5: Solve for x
   x = 30,105,915.80/6,272.50
6. Step 6: Final answer
   x = 4,799.67