Finding the Fourth Proportional to 10,402.86, 15,597.00 and 3,828.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.86 : 15,597.00 = 3,828.19 : x
2. Step 2: Convert to fraction form
   10,402.86/15,597.00 = 3,828.19/x
3. Step 3: Cross multiply
   10,402.86x = 15,597.00 × 3,828.19
4. Step 4: Simplify right side
   10,402.86x = 59,708,245.58
5. Step 5: Solve for x
   x = 59,708,245.58/10,402.86
6. Step 6: Final answer
   x = 5,739.60