Finding the Fourth Proportional to 2,586.38, 3,567.59 and 1,577.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.38 : 3,567.59 = 1,577.63 : x
2. Step 2: Convert to fraction form
   2,586.38/3,567.59 = 1,577.63/x
3. Step 3: Cross multiply
   2,586.38x = 3,567.59 × 1,577.63
4. Step 4: Simplify right side
   2,586.38x = 5,628,332.77
5. Step 5: Solve for x
   x = 5,628,332.77/2,586.38
6. Step 6: Final answer
   x = 2,176.14