Finding the Fourth Proportional to 1,820.78, 2,512.05 and 1,023.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,820.78 : 2,512.05 = 1,023.94 : x
2. Step 2: Convert to fraction form
   1,820.78/2,512.05 = 1,023.94/x
3. Step 3: Cross multiply
   1,820.78x = 2,512.05 × 1,023.94
4. Step 4: Simplify right side
   1,820.78x = 2,572,187.78
5. Step 5: Solve for x
   x = 2,572,187.78/1,820.78
6. Step 6: Final answer
   x = 1,412.69