Finding the Fourth Proportional to 9,825.20, 13,558.52 and 5,349.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.20 : 13,558.52 = 5,349.04 : x
2. Step 2: Convert to fraction form
   9,825.20/13,558.52 = 5,349.04/x
3. Step 3: Cross multiply
   9,825.20x = 13,558.52 × 5,349.04
4. Step 4: Simplify right side
   9,825.20x = 72,525,065.82
5. Step 5: Solve for x
   x = 72,525,065.82/9,825.20
6. Step 6: Final answer
   x = 7,381.54