Finding the Fourth Proportional to 1,506.35, 2,256.02 and 1,464.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.35 : 2,256.02 = 1,464.83 : x
2. Step 2: Convert to fraction form
   1,506.35/2,256.02 = 1,464.83/x
3. Step 3: Cross multiply
   1,506.35x = 2,256.02 × 1,464.83
4. Step 4: Simplify right side
   1,506.35x = 3,304,667.17
5. Step 5: Solve for x
   x = 3,304,667.17/1,506.35
6. Step 6: Final answer
   x = 2,193.83