Finding the Fourth Proportional to 2,506.62, 3,756.50 and 1,464.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.62 : 3,756.50 = 1,464.42 : x
2. Step 2: Convert to fraction form
   2,506.62/3,756.50 = 1,464.42/x
3. Step 3: Cross multiply
   2,506.62x = 3,756.50 × 1,464.42
4. Step 4: Simplify right side
   2,506.62x = 5,501,093.73
5. Step 5: Solve for x
   x = 5,501,093.73/2,506.62
6. Step 6: Final answer
   x = 2,194.63