Finding the Fourth Proportional to 2,561.41, 3,842.10 and 1,465.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.41 : 3,842.10 = 1,465.00 : x
2. Step 2: Convert to fraction form
   2,561.41/3,842.10 = 1,465.00/x
3. Step 3: Cross multiply
   2,561.41x = 3,842.10 × 1,465.00
4. Step 4: Simplify right side
   2,561.41x = 5,628,666.89
5. Step 5: Solve for x
   x = 5,628,666.89/2,561.41
6. Step 6: Final answer
   x = 2,197.49