Finding the Fourth Proportional to 2,601.14, 3,589.65 and 1,422.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,601.14 : 3,589.65 = 1,422.32 : x
2. Step 2: Convert to fraction form
   2,601.14/3,589.65 = 1,422.32/x
3. Step 3: Cross multiply
   2,601.14x = 3,589.65 × 1,422.32
4. Step 4: Simplify right side
   2,601.14x = 5,105,613.04
5. Step 5: Solve for x
   x = 5,105,613.04/2,601.14
6. Step 6: Final answer
   x = 1,962.84