Finding the Fourth Proportional to 1,505.15, 2,258.24 and 811.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.15 : 2,258.24 = 811.89 : x
2. Step 2: Convert to fraction form
   1,505.15/2,258.24 = 811.89/x
3. Step 3: Cross multiply
   1,505.15x = 2,258.24 × 811.89
4. Step 4: Simplify right side
   1,505.15x = 1,833,427.12
5. Step 5: Solve for x
   x = 1,833,427.12/1,505.15
6. Step 6: Final answer
   x = 1,218.10