Finding the Fourth Proportional to 10,395.64, 15,584.16 and 3,820.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,395.64 : 15,584.16 = 3,820.28 : x
2. Step 2: Convert to fraction form
   10,395.64/15,584.16 = 3,820.28/x
3. Step 3: Cross multiply
   10,395.64x = 15,584.16 × 3,820.28
4. Step 4: Simplify right side
   10,395.64x = 59,535,854.76
5. Step 5: Solve for x
   x = 59,535,854.76/10,395.64
6. Step 6: Final answer
   x = 5,727.00