Finding the Fourth Proportional to 1,642.82, 2,268.70 and 1,405.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.82 : 2,268.70 = 1,405.40 : x
2. Step 2: Convert to fraction form
   1,642.82/2,268.70 = 1,405.40/x
3. Step 3: Cross multiply
   1,642.82x = 2,268.70 × 1,405.40
4. Step 4: Simplify right side
   1,642.82x = 3,188,430.98
5. Step 5: Solve for x
   x = 3,188,430.98/1,642.82
6. Step 6: Final answer
   x = 1,940.83