Finding the Fourth Proportional to 1,506.69, 2,258.06 and 813.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.69 : 2,258.06 = 813.53 : x
2. Step 2: Convert to fraction form
   1,506.69/2,258.06 = 813.53/x
3. Step 3: Cross multiply
   1,506.69x = 2,258.06 × 813.53
4. Step 4: Simplify right side
   1,506.69x = 1,836,999.55
5. Step 5: Solve for x
   x = 1,836,999.55/1,506.69
6. Step 6: Final answer
   x = 1,219.23