Finding the Fourth Proportional to 2,050.54, 2,829.75 and 1,166.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,050.54 : 2,829.75 = 1,166.40 : x
2. Step 2: Convert to fraction form
   2,050.54/2,829.75 = 1,166.40/x
3. Step 3: Cross multiply
   2,050.54x = 2,829.75 × 1,166.40
4. Step 4: Simplify right side
   2,050.54x = 3,300,614.57
5. Step 5: Solve for x
   x = 3,300,614.57/2,050.54
6. Step 6: Final answer
   x = 1,609.64