Finding the Fourth Proportional to 1,258.14, 1,885.62 and 563.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,258.14 : 1,885.62 = 563.82 : x
2. Step 2: Convert to fraction form
   1,258.14/1,885.62 = 563.82/x
3. Step 3: Cross multiply
   1,258.14x = 1,885.62 × 563.82
4. Step 4: Simplify right side
   1,258.14x = 1,063,150.27
5. Step 5: Solve for x
   x = 1,063,150.27/1,258.14
6. Step 6: Final answer
   x = 845.02