Finding the Fourth Proportional to 9,825.10, 13,558.37 and 5,348.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.10 : 13,558.37 = 5,348.75 : x
2. Step 2: Convert to fraction form
   9,825.10/13,558.37 = 5,348.75/x
3. Step 3: Cross multiply
   9,825.10x = 13,558.37 × 5,348.75
4. Step 4: Simplify right side
   9,825.10x = 72,520,394.52
5. Step 5: Solve for x
   x = 72,520,394.52/9,825.10
6. Step 6: Final answer
   x = 7,381.14