Finding the Fourth Proportional to 13,000.78, 19,499.82 and 5,978.62

Step by Step Solution

1. Step 1: Write the proportion equation
   13,000.78 : 19,499.82 = 5,978.62 : x
2. Step 2: Convert to fraction form
   13,000.78/19,499.82 = 5,978.62/x
3. Step 3: Cross multiply
   13,000.78x = 19,499.82 × 5,978.62
4. Step 4: Simplify right side
   13,000.78x = 116,582,013.85
5. Step 5: Solve for x
   x = 116,582,013.85/13,000.78
6. Step 6: Final answer
   x = 8,967.31