Finding the Fourth Proportional to 10,384.19, 15,578.31 and 3,810.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.19 : 15,578.31 = 3,810.42 : x
2. Step 2: Convert to fraction form
   10,384.19/15,578.31 = 3,810.42/x
3. Step 3: Cross multiply
   10,384.19x = 15,578.31 × 3,810.42
4. Step 4: Simplify right side
   10,384.19x = 59,359,903.99
5. Step 5: Solve for x
   x = 59,359,903.99/10,384.19
6. Step 6: Final answer
   x = 5,716.38