Finding the Fourth Proportional to 9,978.50, 13,775.82 and 6,000.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.50 : 13,775.82 = 6,000.50 : x
2. Step 2: Convert to fraction form
   9,978.50/13,775.82 = 6,000.50/x
3. Step 3: Cross multiply
   9,978.50x = 13,775.82 × 6,000.50
4. Step 4: Simplify right side
   9,978.50x = 82,661,807.91
5. Step 5: Solve for x
   x = 82,661,807.91/9,978.50
6. Step 6: Final answer
   x = 8,283.99