Finding the Fourth Proportional to 1,568.59, 2,354.10 and 838.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,568.59 : 2,354.10 = 838.78 : x
2. Step 2: Convert to fraction form
   1,568.59/2,354.10 = 838.78/x
3. Step 3: Cross multiply
   1,568.59x = 2,354.10 × 838.78
4. Step 4: Simplify right side
   1,568.59x = 1,974,572.00
5. Step 5: Solve for x
   x = 1,974,572.00/1,568.59
6. Step 6: Final answer
   x = 1,258.82