Finding the Fourth Proportional to 2,561.06, 3,842.68 and 1,405.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.06 : 3,842.68 = 1,405.46 : x
2. Step 2: Convert to fraction form
   2,561.06/3,842.68 = 1,405.46/x
3. Step 3: Cross multiply
   2,561.06x = 3,842.68 × 1,405.46
4. Step 4: Simplify right side
   2,561.06x = 5,400,733.03
5. Step 5: Solve for x
   x = 5,400,733.03/2,561.06
6. Step 6: Final answer
   x = 2,108.79