Finding the Fourth Proportional to 1,505.82, 2,258.55 and 684.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.82 : 2,258.55 = 684.06 : x
2. Step 2: Convert to fraction form
   1,505.82/2,258.55 = 684.06/x
3. Step 3: Cross multiply
   1,505.82x = 2,258.55 × 684.06
4. Step 4: Simplify right side
   1,505.82x = 1,544,983.71
5. Step 5: Solve for x
   x = 1,544,983.71/1,505.82
6. Step 6: Final answer
   x = 1,026.01