Finding the Fourth Proportional to 9,767.75, 14,654.06 and 2,842.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.75 : 14,654.06 = 2,842.25 : x
2. Step 2: Convert to fraction form
   9,767.75/14,654.06 = 2,842.25/x
3. Step 3: Cross multiply
   9,767.75x = 14,654.06 × 2,842.25
4. Step 4: Simplify right side
   9,767.75x = 41,650,487.82
5. Step 5: Solve for x
   x = 41,650,487.82/9,767.75
6. Step 6: Final answer
   x = 4,264.08