Finding the Fourth Proportional to 2,585.21, 3,566.27 and 1,588.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.21 : 3,566.27 = 1,588.91 : x
2. Step 2: Convert to fraction form
   2,585.21/3,566.27 = 1,588.91/x
3. Step 3: Cross multiply
   2,585.21x = 3,566.27 × 1,588.91
4. Step 4: Simplify right side
   2,585.21x = 5,666,456.29
5. Step 5: Solve for x
   x = 5,666,456.29/2,585.21
6. Step 6: Final answer
   x = 2,191.88