Finding the Fourth Proportional to 2,561.42, 3,841.95 and 1,462.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.42 : 3,841.95 = 1,462.34 : x
2. Step 2: Convert to fraction form
   2,561.42/3,841.95 = 1,462.34/x
3. Step 3: Cross multiply
   2,561.42x = 3,841.95 × 1,462.34
4. Step 4: Simplify right side
   2,561.42x = 5,618,237.16
5. Step 5: Solve for x
   x = 5,618,237.16/2,561.42
6. Step 6: Final answer
   x = 2,193.41