Finding the Fourth Proportional to 2,560.02, 3,837.59 and 1,462.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.02 : 3,837.59 = 1,462.87 : x
2. Step 2: Convert to fraction form
   2,560.02/3,837.59 = 1,462.87/x
3. Step 3: Cross multiply
   2,560.02x = 3,837.59 × 1,462.87
4. Step 4: Simplify right side
   2,560.02x = 5,613,895.28
5. Step 5: Solve for x
   x = 5,613,895.28/2,560.02
6. Step 6: Final answer
   x = 2,192.91