Finding the Fourth Proportional to 10,406.96, 15,601.56 and 3,829.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.96 : 15,601.56 = 3,829.84 : x
2. Step 2: Convert to fraction form
   10,406.96/15,601.56 = 3,829.84/x
3. Step 3: Cross multiply
   10,406.96x = 15,601.56 × 3,829.84
4. Step 4: Simplify right side
   10,406.96x = 59,751,478.55
5. Step 5: Solve for x
   x = 59,751,478.55/10,406.96
6. Step 6: Final answer
   x = 5,741.49