Finding the Fourth Proportional to 9,514.05, 13,129.25 and 5,322.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514.05 : 13,129.25 = 5,322.30 : x
2. Step 2: Convert to fraction form
   9,514.05/13,129.25 = 5,322.30/x
3. Step 3: Cross multiply
   9,514.05x = 13,129.25 × 5,322.30
4. Step 4: Simplify right side
   9,514.05x = 69,877,780.66
5. Step 5: Solve for x
   x = 69,877,780.66/9,514.05
6. Step 6: Final answer
   x = 7,344.69