Finding the Fourth Proportional to 1,506.58, 2,258.20 and 811.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.58 : 2,258.20 = 811.52 : x
2. Step 2: Convert to fraction form
   1,506.58/2,258.20 = 811.52/x
3. Step 3: Cross multiply
   1,506.58x = 2,258.20 × 811.52
4. Step 4: Simplify right side
   1,506.58x = 1,832,574.46
5. Step 5: Solve for x
   x = 1,832,574.46/1,506.58
6. Step 6: Final answer
   x = 1,216.38