Finding the Fourth Proportional to 5,911.34, 8,098.50 and 5,689.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,911.34 : 8,098.50 = 5,689.76 : x
2. Step 2: Convert to fraction form
   5,911.34/8,098.50 = 5,689.76/x
3. Step 3: Cross multiply
   5,911.34x = 8,098.50 × 5,689.76
4. Step 4: Simplify right side
   5,911.34x = 46,078,535.58
5. Step 5: Solve for x
   x = 46,078,535.58/5,911.34
6. Step 6: Final answer
   x = 7,794.94