Finding the Fourth Proportional to 2,560.71, 3,837.53 and 1,462.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.71 : 3,837.53 = 1,462.76 : x
2. Step 2: Convert to fraction form
   2,560.71/3,837.53 = 1,462.76/x
3. Step 3: Cross multiply
   2,560.71x = 3,837.53 × 1,462.76
4. Step 4: Simplify right side
   2,560.71x = 5,613,376.01
5. Step 5: Solve for x
   x = 5,613,376.01/2,560.71
6. Step 6: Final answer
   x = 2,192.11