Finding the Fourth Proportional to 10,409.39, 15,620.20 and 3,840.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.39 : 15,620.20 = 3,840.16 : x
2. Step 2: Convert to fraction form
   10,409.39/15,620.20 = 3,840.16/x
3. Step 3: Cross multiply
   10,409.39x = 15,620.20 × 3,840.16
4. Step 4: Simplify right side
   10,409.39x = 59,984,018.58
5. Step 5: Solve for x
   x = 59,984,018.58/10,409.39
6. Step 6: Final answer
   x = 5,762.49