Finding the Fourth Proportional to 2,557.44, 3,832.56 and 1,460.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.44 : 3,832.56 = 1,460.16 : x
2. Step 2: Convert to fraction form
   2,557.44/3,832.56 = 1,460.16/x
3. Step 3: Cross multiply
   2,557.44x = 3,832.56 × 1,460.16
4. Step 4: Simplify right side
   2,557.44x = 5,596,150.81
5. Step 5: Solve for x
   x = 5,596,150.81/2,557.44
6. Step 6: Final answer
   x = 2,188.18