Finding the Fourth Proportional to 2,562.06, 3,844.18 and 1,406.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.06 : 3,844.18 = 1,406.46 : x
2. Step 2: Convert to fraction form
   2,562.06/3,844.18 = 1,406.46/x
3. Step 3: Cross multiply
   2,562.06x = 3,844.18 × 1,406.46
4. Step 4: Simplify right side
   2,562.06x = 5,406,685.40
5. Step 5: Solve for x
   x = 5,406,685.40/2,562.06
6. Step 6: Final answer
   x = 2,110.29