Finding the Fourth Proportional to 10,029.78, 13,842.12 and 5,781

Step by Step Solution

1. Step 1: Write the proportion equation
   10,029.78 : 13,842.12 = 5,781 : x
2. Step 2: Convert to fraction form
   10,029.78/13,842.12 = 5,781/x
3. Step 3: Cross multiply
   10,029.78x = 13,842.12 × 5,781
4. Step 4: Simplify right side
   10,029.78x = 80,021,295.72
5. Step 5: Solve for x
   x = 80,021,295.72/10,029.78
6. Step 6: Final answer
   x = 7,978.37