Finding the Fourth Proportional to 10,071.48, 13,896.57 and 5,821.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071.48 : 13,896.57 = 5,821.02 : x
2. Step 2: Convert to fraction form
   10,071.48/13,896.57 = 5,821.02/x
3. Step 3: Cross multiply
   10,071.48x = 13,896.57 × 5,821.02
4. Step 4: Simplify right side
   10,071.48x = 80,892,211.90
5. Step 5: Solve for x
   x = 80,892,211.90/10,071.48
6. Step 6: Final answer
   x = 8,031.81