Finding the Fourth Proportional to 9,768.16, 14,652.72 and 2,842.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.16 : 14,652.72 = 2,842.80 : x
2. Step 2: Convert to fraction form
   9,768.16/14,652.72 = 2,842.80/x
3. Step 3: Cross multiply
   9,768.16x = 14,652.72 × 2,842.80
4. Step 4: Simplify right side
   9,768.16x = 41,654,752.42
5. Step 5: Solve for x
   x = 41,654,752.42/9,768.16
6. Step 6: Final answer
   x = 4,264.34