Finding the Fourth Proportional to 9,538.75, 13,164.69 and 5,347

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.75 : 13,164.69 = 5,347 : x
2. Step 2: Convert to fraction form
   9,538.75/13,164.69 = 5,347/x
3. Step 3: Cross multiply
   9,538.75x = 13,164.69 × 5,347
4. Step 4: Simplify right side
   9,538.75x = 70,391,597.43
5. Step 5: Solve for x
   x = 70,391,597.43/9,538.75
6. Step 6: Final answer
   x = 7,379.54