Finding the Fourth Proportional to 9,458.35, 13,052.37 and 5,209.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,458.35 : 13,052.37 = 5,209.82 : x
2. Step 2: Convert to fraction form
   9,458.35/13,052.37 = 5,209.82/x
3. Step 3: Cross multiply
   9,458.35x = 13,052.37 × 5,209.82
4. Step 4: Simplify right side
   9,458.35x = 68,000,501.49
5. Step 5: Solve for x
   x = 68,000,501.49/9,458.35
6. Step 6: Final answer
   x = 7,189.47