Finding the Fourth Proportional to 2,649.17, 3,655.47 and 1,586.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.17 : 3,655.47 = 1,586.69 : x
2. Step 2: Convert to fraction form
   2,649.17/3,655.47 = 1,586.69/x
3. Step 3: Cross multiply
   2,649.17x = 3,655.47 × 1,586.69
4. Step 4: Simplify right side
   2,649.17x = 5,800,106.83
5. Step 5: Solve for x
   x = 5,800,106.83/2,649.17
6. Step 6: Final answer
   x = 2,189.40