Finding the Fourth Proportional to 2,639.60, 3,642.80 and 1,460.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,639.60 : 3,642.80 = 1,460.78 : x
2. Step 2: Convert to fraction form
   2,639.60/3,642.80 = 1,460.78/x
3. Step 3: Cross multiply
   2,639.60x = 3,642.80 × 1,460.78
4. Step 4: Simplify right side
   2,639.60x = 5,321,303.87
5. Step 5: Solve for x
   x = 5,321,303.87/2,639.60
6. Step 6: Final answer
   x = 2,015.95