Finding the Fourth Proportional to 1,642.03, 2,453.42 and 1,584.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.03 : 2,453.42 = 1,584.61 : x
2. Step 2: Convert to fraction form
   1,642.03/2,453.42 = 1,584.61/x
3. Step 3: Cross multiply
   1,642.03x = 2,453.42 × 1,584.61
4. Step 4: Simplify right side
   1,642.03x = 3,887,711.69
5. Step 5: Solve for x
   x = 3,887,711.69/1,642.03
6. Step 6: Final answer
   x = 2,367.63