Finding the Fourth Proportional to 10,398.42, 15,590.34 and 3,823.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,398.42 : 15,590.34 = 3,823.74 : x
2. Step 2: Convert to fraction form
   10,398.42/15,590.34 = 3,823.74/x
3. Step 3: Cross multiply
   10,398.42x = 15,590.34 × 3,823.74
4. Step 4: Simplify right side
   10,398.42x = 59,613,406.67
5. Step 5: Solve for x
   x = 59,613,406.67/10,398.42
6. Step 6: Final answer
   x = 5,732.93