Finding the Fourth Proportional to 10,074.38, 13,898.55 and 5,824.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074.38 : 13,898.55 = 5,824.61 : x
2. Step 2: Convert to fraction form
   10,074.38/13,898.55 = 5,824.61/x
3. Step 3: Cross multiply
   10,074.38x = 13,898.55 × 5,824.61
4. Step 4: Simplify right side
   10,074.38x = 80,953,637.78
5. Step 5: Solve for x
   x = 80,953,637.78/10,074.38
6. Step 6: Final answer
   x = 8,035.60