Finding the Fourth Proportional to 10,591.70, 15,884.20 and 3,836.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,591.70 : 15,884.20 = 3,836.42 : x
2. Step 2: Convert to fraction form
   10,591.70/15,884.20 = 3,836.42/x
3. Step 3: Cross multiply
   10,591.70x = 15,884.20 × 3,836.42
4. Step 4: Simplify right side
   10,591.70x = 60,938,462.56
5. Step 5: Solve for x
   x = 60,938,462.56/10,591.70
6. Step 6: Final answer
   x = 5,753.42