Finding the Fourth Proportional to 2,634.96, 3,634.52 and 1,586

Step by Step Solution

1. Step 1: Write the proportion equation
   2,634.96 : 3,634.52 = 1,586 : x
2. Step 2: Convert to fraction form
   2,634.96/3,634.52 = 1,586/x
3. Step 3: Cross multiply
   2,634.96x = 3,634.52 × 1,586
4. Step 4: Simplify right side
   2,634.96x = 5,764,348.72
5. Step 5: Solve for x
   x = 5,764,348.72/2,634.96
6. Step 6: Final answer
   x = 2,187.64