Finding the Fourth Proportional to 10,390.68, 15,594.12 and 3,823.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,390.68 : 15,594.12 = 3,823.20 : x
2. Step 2: Convert to fraction form
   10,390.68/15,594.12 = 3,823.20/x
3. Step 3: Cross multiply
   10,390.68x = 15,594.12 × 3,823.20
4. Step 4: Simplify right side
   10,390.68x = 59,619,439.58
5. Step 5: Solve for x
   x = 59,619,439.58/10,390.68
6. Step 6: Final answer
   x = 5,737.78