Finding the Fourth Proportional to 9,825.96, 13,559.40 and 5,349.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.96 : 13,559.40 = 5,349.74 : x
2. Step 2: Convert to fraction form
   9,825.96/13,559.40 = 5,349.74/x
3. Step 3: Cross multiply
   9,825.96x = 13,559.40 × 5,349.74
4. Step 4: Simplify right side
   9,825.96x = 72,539,196.76
5. Step 5: Solve for x
   x = 72,539,196.76/9,825.96
6. Step 6: Final answer
   x = 7,382.40