Finding the Fourth Proportional to 5,786.58, 7,966.17 and 5,522.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,786.58 : 7,966.17 = 5,522.12 : x
2. Step 2: Convert to fraction form
   5,786.58/7,966.17 = 5,522.12/x
3. Step 3: Cross multiply
   5,786.58x = 7,966.17 × 5,522.12
4. Step 4: Simplify right side
   5,786.58x = 43,990,106.85
5. Step 5: Solve for x
   x = 43,990,106.85/5,786.58
6. Step 6: Final answer
   x = 7,602.09