Finding the Fourth Proportional to 2,656.29, 3,665.77 and 1,461.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,656.29 : 3,665.77 = 1,461.32 : x
2. Step 2: Convert to fraction form
   2,656.29/3,665.77 = 1,461.32/x
3. Step 3: Cross multiply
   2,656.29x = 3,665.77 × 1,461.32
4. Step 4: Simplify right side
   2,656.29x = 5,356,868.53
5. Step 5: Solve for x
   x = 5,356,868.53/2,656.29
6. Step 6: Final answer
   x = 2,016.67