Finding the Fourth Proportional to 2,072.33, 2,859.76 and 1,188.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,072.33 : 2,859.76 = 1,188.65 : x
2. Step 2: Convert to fraction form
   2,072.33/2,859.76 = 1,188.65/x
3. Step 3: Cross multiply
   2,072.33x = 2,859.76 × 1,188.65
4. Step 4: Simplify right side
   2,072.33x = 3,399,253.72
5. Step 5: Solve for x
   x = 3,399,253.72/2,072.33
6. Step 6: Final answer
   x = 1,640.31