Finding the Fourth Proportional to 1,258.09, 1,887.76 and 565.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,258.09 : 1,887.76 = 565.27 : x
2. Step 2: Convert to fraction form
   1,258.09/1,887.76 = 565.27/x
3. Step 3: Cross multiply
   1,258.09x = 1,887.76 × 565.27
4. Step 4: Simplify right side
   1,258.09x = 1,067,094.10
5. Step 5: Solve for x
   x = 1,067,094.10/1,258.09
6. Step 6: Final answer
   x = 848.19