Finding the Fourth Proportional to 9,825.83, 13,559.90 and 5,349.87

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.83 : 13,559.90 = 5,349.87 : x
2. Step 2: Convert to fraction form
   9,825.83/13,559.90 = 5,349.87/x
3. Step 3: Cross multiply
   9,825.83x = 13,559.90 × 5,349.87
4. Step 4: Simplify right side
   9,825.83x = 72,543,675.46
5. Step 5: Solve for x
   x = 72,543,675.46/9,825.83
6. Step 6: Final answer
   x = 7,382.96