Finding the Fourth Proportional to 1,884.42, 2,826.42 and 585.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,884.42 : 2,826.42 = 585.78 : x
2. Step 2: Convert to fraction form
   1,884.42/2,826.42 = 585.78/x
3. Step 3: Cross multiply
   1,884.42x = 2,826.42 × 585.78
4. Step 4: Simplify right side
   1,884.42x = 1,655,660.31
5. Step 5: Solve for x
   x = 1,655,660.31/1,884.42
6. Step 6: Final answer
   x = 878.60