Finding the Fourth Proportional to 2,586.81, 3,875.09 and 1,543.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.81 : 3,875.09 = 1,543.89 : x
2. Step 2: Convert to fraction form
   2,586.81/3,875.09 = 1,543.89/x
3. Step 3: Cross multiply
   2,586.81x = 3,875.09 × 1,543.89
4. Step 4: Simplify right side
   2,586.81x = 5,982,695.50
5. Step 5: Solve for x
   x = 5,982,695.50/2,586.81
6. Step 6: Final answer
   x = 2,312.77