Finding the Fourth Proportional to 1,584.82, 2,374.76 and 1,419.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.82 : 2,374.76 = 1,419.39 : x
2. Step 2: Convert to fraction form
   1,584.82/2,374.76 = 1,419.39/x
3. Step 3: Cross multiply
   1,584.82x = 2,374.76 × 1,419.39
4. Step 4: Simplify right side
   1,584.82x = 3,370,694.15
5. Step 5: Solve for x
   x = 3,370,694.15/1,584.82
6. Step 6: Final answer
   x = 2,126.87