Finding the Fourth Proportional to 5,978.34, 8,922.31 and 5,822.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978.34 : 8,922.31 = 5,822.82 : x
2. Step 2: Convert to fraction form
   5,978.34/8,922.31 = 5,822.82/x
3. Step 3: Cross multiply
   5,978.34x = 8,922.31 × 5,822.82
4. Step 4: Simplify right side
   5,978.34x = 51,952,990.56
5. Step 5: Solve for x
   x = 51,952,990.56/5,978.34
6. Step 6: Final answer
   x = 8,690.20