Finding the Fourth Proportional to 12,874.66, 19,309.83 and 3,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,874.66 : 19,309.83 = 3,638.50 : x
2. Step 2: Convert to fraction form
   12,874.66/19,309.83 = 3,638.50/x
3. Step 3: Cross multiply
   12,874.66x = 19,309.83 × 3,638.50
4. Step 4: Simplify right side
   12,874.66x = 70,258,816.46
5. Step 5: Solve for x
   x = 70,258,816.46/12,874.66
6. Step 6: Final answer
   x = 5,457.14