Finding the Fourth Proportional to 2,561.50, 3,842.34 and 1,465.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.50 : 3,842.34 = 1,465.36 : x
2. Step 2: Convert to fraction form
   2,561.50/3,842.34 = 1,465.36/x
3. Step 3: Cross multiply
   2,561.50x = 3,842.34 × 1,465.36
4. Step 4: Simplify right side
   2,561.50x = 5,630,411.34
5. Step 5: Solve for x
   x = 5,630,411.34/2,561.50
6. Step 6: Final answer
   x = 2,198.09