Finding the Fourth Proportional to 1,768.86, 2,441.14 and 1,023.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,768.86 : 2,441.14 = 1,023.05 : x
2. Step 2: Convert to fraction form
   1,768.86/2,441.14 = 1,023.05/x
3. Step 3: Cross multiply
   1,768.86x = 2,441.14 × 1,023.05
4. Step 4: Simplify right side
   1,768.86x = 2,497,411.82
5. Step 5: Solve for x
   x = 2,497,411.82/1,768.86
6. Step 6: Final answer
   x = 1,411.88