Finding the Fourth Proportional to 2,705.52, 3,732.42 and 1,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.52 : 3,732.42 = 1,586.50 : x
2. Step 2: Convert to fraction form
   2,705.52/3,732.42 = 1,586.50/x
3. Step 3: Cross multiply
   2,705.52x = 3,732.42 × 1,586.50
4. Step 4: Simplify right side
   2,705.52x = 5,921,484.33
5. Step 5: Solve for x
   x = 5,921,484.33/2,705.52
6. Step 6: Final answer
   x = 2,188.67