Finding the Fourth Proportional to 9,822.83, 14,736.73 and 2,802.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.83 : 14,736.73 = 2,802.86 : x
2. Step 2: Convert to fraction form
   9,822.83/14,736.73 = 2,802.86/x
3. Step 3: Cross multiply
   9,822.83x = 14,736.73 × 2,802.86
4. Step 4: Simplify right side
   9,822.83x = 41,305,055.32
5. Step 5: Solve for x
   x = 41,305,055.32/9,822.83
6. Step 6: Final answer
   x = 4,205.01