Finding the Fourth Proportional to 2,649.46, 3,655.71 and 1,586.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.46 : 3,655.71 = 1,586.94 : x
2. Step 2: Convert to fraction form
   2,649.46/3,655.71 = 1,586.94/x
3. Step 3: Cross multiply
   2,649.46x = 3,655.71 × 1,586.94
4. Step 4: Simplify right side
   2,649.46x = 5,801,394.82
5. Step 5: Solve for x
   x = 5,801,394.82/2,649.46
6. Step 6: Final answer
   x = 2,189.65