Finding the Fourth Proportional to 9,822.25, 14,730.42 and 2,801.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.25 : 14,730.42 = 2,801.77 : x
2. Step 2: Convert to fraction form
   9,822.25/14,730.42 = 2,801.77/x
3. Step 3: Cross multiply
   9,822.25x = 14,730.42 × 2,801.77
4. Step 4: Simplify right side
   9,822.25x = 41,271,175.19
5. Step 5: Solve for x
   x = 41,271,175.19/9,822.25
6. Step 6: Final answer
   x = 4,201.81