Finding the Fourth Proportional to 2,561.81, 3,837.87 and 1,462.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.81 : 3,837.87 = 1,462.86 : x
2. Step 2: Convert to fraction form
   2,561.81/3,837.87 = 1,462.86/x
3. Step 3: Cross multiply
   2,561.81x = 3,837.87 × 1,462.86
4. Step 4: Simplify right side
   2,561.81x = 5,614,266.51
5. Step 5: Solve for x
   x = 5,614,266.51/2,561.81
6. Step 6: Final answer
   x = 2,191.53