Finding the Fourth Proportional to 2,089.69, 2,884.07 and 1,193.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.69 : 2,884.07 = 1,193.74 : x
2. Step 2: Convert to fraction form
   2,089.69/2,884.07 = 1,193.74/x
3. Step 3: Cross multiply
   2,089.69x = 2,884.07 × 1,193.74
4. Step 4: Simplify right side
   2,089.69x = 3,442,829.72
5. Step 5: Solve for x
   x = 3,442,829.72/2,089.69
6. Step 6: Final answer
   x = 1,647.53