Finding the Fourth Proportional to 1,585.94, 2,189.20 and 1,419.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.94 : 2,189.20 = 1,419.86 : x
2. Step 2: Convert to fraction form
   1,585.94/2,189.20 = 1,419.86/x
3. Step 3: Cross multiply
   1,585.94x = 2,189.20 × 1,419.86
4. Step 4: Simplify right side
   1,585.94x = 3,108,357.51
5. Step 5: Solve for x
   x = 3,108,357.51/1,585.94
6. Step 6: Final answer
   x = 1,959.95