Finding the Fourth Proportional to 1,258.77, 1,887.83 and 565.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,258.77 : 1,887.83 = 565.05 : x
2. Step 2: Convert to fraction form
   1,258.77/1,887.83 = 565.05/x
3. Step 3: Cross multiply
   1,258.77x = 1,887.83 × 565.05
4. Step 4: Simplify right side
   1,258.77x = 1,066,715.52
5. Step 5: Solve for x
   x = 1,066,715.52/1,258.77
6. Step 6: Final answer
   x = 847.43