Finding the Fourth Proportional to 1,401.92, 1,933.39 and 1,166.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.92 : 1,933.39 = 1,166.65 : x
2. Step 2: Convert to fraction form
   1,401.92/1,933.39 = 1,166.65/x
3. Step 3: Cross multiply
   1,401.92x = 1,933.39 × 1,166.65
4. Step 4: Simplify right side
   1,401.92x = 2,255,586.07
5. Step 5: Solve for x
   x = 2,255,586.07/1,401.92
6. Step 6: Final answer
   x = 1,608.93