Finding the Fourth Proportional to 2,659.67, 3,670.38 and 1,464.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,659.67 : 3,670.38 = 1,464.80 : x
2. Step 2: Convert to fraction form
   2,659.67/3,670.38 = 1,464.80/x
3. Step 3: Cross multiply
   2,659.67x = 3,670.38 × 1,464.80
4. Step 4: Simplify right side
   2,659.67x = 5,376,372.62
5. Step 5: Solve for x
   x = 5,376,372.62/2,659.67
6. Step 6: Final answer
   x = 2,021.44