Finding the Fourth Proportional to 10,415.92, 15,624.06 and 3,838.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415.92 : 15,624.06 = 3,838.72 : x
2. Step 2: Convert to fraction form
   10,415.92/15,624.06 = 3,838.72/x
3. Step 3: Cross multiply
   10,415.92x = 15,624.06 × 3,838.72
4. Step 4: Simplify right side
   10,415.92x = 59,976,391.60
5. Step 5: Solve for x
   x = 59,976,391.60/10,415.92
6. Step 6: Final answer
   x = 5,758.15