Finding the Fourth Proportional to 2,586.50, 3,880.43 and 1,353.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.50 : 3,880.43 = 1,353.57 : x
2. Step 2: Convert to fraction form
   2,586.50/3,880.43 = 1,353.57/x
3. Step 3: Cross multiply
   2,586.50x = 3,880.43 × 1,353.57
4. Step 4: Simplify right side
   2,586.50x = 5,252,426.87
5. Step 5: Solve for x
   x = 5,252,426.87/2,586.50
6. Step 6: Final answer
   x = 2,030.71