Finding the Fourth Proportional to 1,411.86, 2,119 and 1,023.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.86 : 2,119 = 1,023.06 : x
2. Step 2: Convert to fraction form
   1,411.86/2,119 = 1,023.06/x
3. Step 3: Cross multiply
   1,411.86x = 2,119 × 1,023.06
4. Step 4: Simplify right side
   1,411.86x = 2,167,864.14
5. Step 5: Solve for x
   x = 2,167,864.14/1,411.86
6. Step 6: Final answer
   x = 1,535.47