Finding the Fourth Proportional to 6,294, 8,685.72 and 3,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,294 : 8,685.72 = 3,499.50 : x
2. Step 2: Convert to fraction form
   6,294/8,685.72 = 3,499.50/x
3. Step 3: Cross multiply
   6,294x = 8,685.72 × 3,499.50
4. Step 4: Simplify right side
   6,294x = 30,395,677.14
5. Step 5: Solve for x
   x = 30,395,677.14/6,294
6. Step 6: Final answer
   x = 4,829.31