Finding the Fourth Proportional to 9,758.22, 14,638.86 and 3,182.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.22 : 14,638.86 = 3,182.88 : x
2. Step 2: Convert to fraction form
   9,758.22/14,638.86 = 3,182.88/x
3. Step 3: Cross multiply
   9,758.22x = 14,638.86 × 3,182.88
4. Step 4: Simplify right side
   9,758.22x = 46,593,734.72
5. Step 5: Solve for x
   x = 46,593,734.72/9,758.22
6. Step 6: Final answer
   x = 4,774.82