Finding the Fourth Proportional to 9,825.86, 13,559.50 and 5,349.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.86 : 13,559.50 = 5,349.71 : x
2. Step 2: Convert to fraction form
   9,825.86/13,559.50 = 5,349.71/x
3. Step 3: Cross multiply
   9,825.86x = 13,559.50 × 5,349.71
4. Step 4: Simplify right side
   9,825.86x = 72,539,392.75
5. Step 5: Solve for x
   x = 72,539,392.75/9,825.86
6. Step 6: Final answer
   x = 7,382.50