Finding the Fourth Proportional to 9,627.80, 14,458.10 and 5,182.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.80 : 14,458.10 = 5,182.72 : x
2. Step 2: Convert to fraction form
   9,627.80/14,458.10 = 5,182.72/x
3. Step 3: Cross multiply
   9,627.80x = 14,458.10 × 5,182.72
4. Step 4: Simplify right side
   9,627.80x = 74,932,284.03
5. Step 5: Solve for x
   x = 74,932,284.03/9,627.80
6. Step 6: Final answer
   x = 7,782.91