Finding the Fourth Proportional to 1,642.25, 2,452.55 and 1,460.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.25 : 2,452.55 = 1,460.81 : x
2. Step 2: Convert to fraction form
   1,642.25/2,452.55 = 1,460.81/x
3. Step 3: Cross multiply
   1,642.25x = 2,452.55 × 1,460.81
4. Step 4: Simplify right side
   1,642.25x = 3,582,716.61
5. Step 5: Solve for x
   x = 3,582,716.61/1,642.25
6. Step 6: Final answer
   x = 2,181.59