Finding the Fourth Proportional to 10,077.85, 13,906.43 and 5,828.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.85 : 13,906.43 = 5,828.59 : x
2. Step 2: Convert to fraction form
   10,077.85/13,906.43 = 5,828.59/x
3. Step 3: Cross multiply
   10,077.85x = 13,906.43 × 5,828.59
4. Step 4: Simplify right side
   10,077.85x = 81,054,849.69
5. Step 5: Solve for x
   x = 81,054,849.69/10,077.85
6. Step 6: Final answer
   x = 8,042.87