Finding the Fourth Proportional to 2,050.71, 2,829.90 and 1,166.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,050.71 : 2,829.90 = 1,166.59 : x
2. Step 2: Convert to fraction form
   2,050.71/2,829.90 = 1,166.59/x
3. Step 3: Cross multiply
   2,050.71x = 2,829.90 × 1,166.59
4. Step 4: Simplify right side
   2,050.71x = 3,301,333.04
5. Step 5: Solve for x
   x = 3,301,333.04/2,050.71
6. Step 6: Final answer
   x = 1,609.85