Finding the Fourth Proportional to 2,626.50, 3,624.57 and 1,447.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,626.50 : 3,624.57 = 1,447.57 : x
2. Step 2: Convert to fraction form
   2,626.50/3,624.57 = 1,447.57/x
3. Step 3: Cross multiply
   2,626.50x = 3,624.57 × 1,447.57
4. Step 4: Simplify right side
   2,626.50x = 5,246,818.79
5. Step 5: Solve for x
   x = 5,246,818.79/2,626.50
6. Step 6: Final answer
   x = 1,997.65