Finding the Fourth Proportional to 10,072.88, 13,901.27 and 5,824.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.88 : 13,901.27 = 5,824.79 : x
2. Step 2: Convert to fraction form
   10,072.88/13,901.27 = 5,824.79/x
3. Step 3: Cross multiply
   10,072.88x = 13,901.27 × 5,824.79
4. Step 4: Simplify right side
   10,072.88x = 80,971,879.85
5. Step 5: Solve for x
   x = 80,971,879.85/10,072.88
6. Step 6: Final answer
   x = 8,038.61