Finding the Fourth Proportional to 8,456.74, 12,685.74 and 2,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,456.74 : 12,685.74 = 2,533.50 : x
2. Step 2: Convert to fraction form
   8,456.74/12,685.74 = 2,533.50/x
3. Step 3: Cross multiply
   8,456.74x = 12,685.74 × 2,533.50
4. Step 4: Simplify right side
   8,456.74x = 32,139,355.59
5. Step 5: Solve for x
   x = 32,139,355.59/8,456.74
6. Step 6: Final answer
   x = 3,800.44