Finding the Fourth Proportional to 2,072.40, 2,842.32 and 1,966.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,072.40 : 2,842.32 = 1,966.83 : x
2. Step 2: Convert to fraction form
   2,072.40/2,842.32 = 1,966.83/x
3. Step 3: Cross multiply
   2,072.40x = 2,842.32 × 1,966.83
4. Step 4: Simplify right side
   2,072.40x = 5,590,360.25
5. Step 5: Solve for x
   x = 5,590,360.25/2,072.40
6. Step 6: Final answer
   x = 2,697.53