Finding the Fourth Proportional to 10,384.64, 15,567.69 and 3,809.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.64 : 15,567.69 = 3,809.30 : x
2. Step 2: Convert to fraction form
   10,384.64/15,567.69 = 3,809.30/x
3. Step 3: Cross multiply
   10,384.64x = 15,567.69 × 3,809.30
4. Step 4: Simplify right side
   10,384.64x = 59,301,923.68
5. Step 5: Solve for x
   x = 59,301,923.68/10,384.64
6. Step 6: Final answer
   x = 5,710.54