Finding the Fourth Proportional to 10,407.84, 15,613.86 and 3,833.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.84 : 15,613.86 = 3,833.88 : x
2. Step 2: Convert to fraction form
   10,407.84/15,613.86 = 3,833.88/x
3. Step 3: Cross multiply
   10,407.84x = 15,613.86 × 3,833.88
4. Step 4: Simplify right side
   10,407.84x = 59,861,665.58
5. Step 5: Solve for x
   x = 59,861,665.58/10,407.84
6. Step 6: Final answer
   x = 5,751.59