Finding the Fourth Proportional to 2,655.30, 3,663.98 and 1,460.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,655.30 : 3,663.98 = 1,460.09 : x
2. Step 2: Convert to fraction form
   2,655.30/3,663.98 = 1,460.09/x
3. Step 3: Cross multiply
   2,655.30x = 3,663.98 × 1,460.09
4. Step 4: Simplify right side
   2,655.30x = 5,349,735.50
5. Step 5: Solve for x
   x = 5,349,735.50/2,655.30
6. Step 6: Final answer
   x = 2,014.74