Finding the Fourth Proportional to 10,429.74, 15,647.98 and 3,856.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.74 : 15,647.98 = 3,856.86 : x
2. Step 2: Convert to fraction form
   10,429.74/15,647.98 = 3,856.86/x
3. Step 3: Cross multiply
   10,429.74x = 15,647.98 × 3,856.86
4. Step 4: Simplify right side
   10,429.74x = 60,352,068.14
5. Step 5: Solve for x
   x = 60,352,068.14/10,429.74
6. Step 6: Final answer
   x = 5,786.54