Finding the Fourth Proportional to 10,074.03, 13,898.17 and 5,824.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074.03 : 13,898.17 = 5,824.30 : x
2. Step 2: Convert to fraction form
   10,074.03/13,898.17 = 5,824.30/x
3. Step 3: Cross multiply
   10,074.03x = 13,898.17 × 5,824.30
4. Step 4: Simplify right side
   10,074.03x = 80,947,111.53
5. Step 5: Solve for x
   x = 80,947,111.53/10,074.03
6. Step 6: Final answer
   x = 8,035.23