Finding the Fourth Proportional to 5,136.50, 7,705.90 and 1,626.71

Step by Step Solution

1. Step 1: Write the proportion equation
   5,136.50 : 7,705.90 = 1,626.71 : x
2. Step 2: Convert to fraction form
   5,136.50/7,705.90 = 1,626.71/x
3. Step 3: Cross multiply
   5,136.50x = 7,705.90 × 1,626.71
4. Step 4: Simplify right side
   5,136.50x = 12,535,256.46
5. Step 5: Solve for x
   x = 12,535,256.46/5,136.50
6. Step 6: Final answer
   x = 2,440.43