Finding the Fourth Proportional to 9,575.82, 14,375.88 and 9,182.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,575.82 : 14,375.88 = 9,182.16 : x
2. Step 2: Convert to fraction form
   9,575.82/14,375.88 = 9,182.16/x
3. Step 3: Cross multiply
   9,575.82x = 14,375.88 × 9,182.16
4. Step 4: Simplify right side
   9,575.82x = 132,001,630.30
5. Step 5: Solve for x
   x = 132,001,630.30/9,575.82
6. Step 6: Final answer
   x = 13,784.89