Finding the Fourth Proportional to 12,838.86, 17,712.35 and 7,802.28

Step by Step Solution

1. Step 1: Write the proportion equation
   12,838.86 : 17,712.35 = 7,802.28 : x
2. Step 2: Convert to fraction form
   12,838.86/17,712.35 = 7,802.28/x
3. Step 3: Cross multiply
   12,838.86x = 17,712.35 × 7,802.28
4. Step 4: Simplify right side
   12,838.86x = 138,196,714.16
5. Step 5: Solve for x
   x = 138,196,714.16/12,838.86
6. Step 6: Final answer
   x = 10,763.94