Finding the Fourth Proportional to 2,557.02, 3,832.52 and 1,462.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.02 : 3,832.52 = 1,462.14 : x
2. Step 2: Convert to fraction form
   2,557.02/3,832.52 = 1,462.14/x
3. Step 3: Cross multiply
   2,557.02x = 3,832.52 × 1,462.14
4. Step 4: Simplify right side
   2,557.02x = 5,603,680.79
5. Step 5: Solve for x
   x = 5,603,680.79/2,557.02
6. Step 6: Final answer
   x = 2,191.49