Finding the Fourth Proportional to 9,822.65, 14,733.77 and 2,802.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.65 : 14,733.77 = 2,802.69 : x
2. Step 2: Convert to fraction form
   9,822.65/14,733.77 = 2,802.69/x
3. Step 3: Cross multiply
   9,822.65x = 14,733.77 × 2,802.69
4. Step 4: Simplify right side
   9,822.65x = 41,294,175.83
5. Step 5: Solve for x
   x = 41,294,175.83/9,822.65
6. Step 6: Final answer
   x = 4,203.98