Finding the Fourth Proportional to 9,958.50, 13,742.25 and 5,978.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,958.50 : 13,742.25 = 5,978.82 : x
2. Step 2: Convert to fraction form
   9,958.50/13,742.25 = 5,978.82/x
3. Step 3: Cross multiply
   9,958.50x = 13,742.25 × 5,978.82
4. Step 4: Simplify right side
   9,958.50x = 82,162,439.15
5. Step 5: Solve for x
   x = 82,162,439.15/9,958.50
6. Step 6: Final answer
   x = 8,250.48