Finding the Fourth Proportional to 10,394.64, 15,582.42 and 3,815.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,394.64 : 15,582.42 = 3,815.82 : x
2. Step 2: Convert to fraction form
   10,394.64/15,582.42 = 3,815.82/x
3. Step 3: Cross multiply
   10,394.64x = 15,582.42 × 3,815.82
4. Step 4: Simplify right side
   10,394.64x = 59,459,709.88
5. Step 5: Solve for x
   x = 59,459,709.88/10,394.64
6. Step 6: Final answer
   x = 5,720.23