Finding the Fourth Proportional to 2,131.18, 3,189.21 and 1,582

Step by Step Solution

1. Step 1: Write the proportion equation
   2,131.18 : 3,189.21 = 1,582 : x
2. Step 2: Convert to fraction form
   2,131.18/3,189.21 = 1,582/x
3. Step 3: Cross multiply
   2,131.18x = 3,189.21 × 1,582
4. Step 4: Simplify right side
   2,131.18x = 5,045,330.22
5. Step 5: Solve for x
   x = 5,045,330.22/2,131.18
6. Step 6: Final answer
   x = 2,367.39