Finding the Fourth Proportional to 2,287.48, 3,429.78 and 1,506.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,287.48 : 3,429.78 = 1,506.64 : x
2. Step 2: Convert to fraction form
   2,287.48/3,429.78 = 1,506.64/x
3. Step 3: Cross multiply
   2,287.48x = 3,429.78 × 1,506.64
4. Step 4: Simplify right side
   2,287.48x = 5,167,443.74
5. Step 5: Solve for x
   x = 5,167,443.74/2,287.48
6. Step 6: Final answer
   x = 2,259.01