Finding the Fourth Proportional to 10,111.86, 13,959.36 and 7,838.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.86 : 13,959.36 = 7,838.19 : x
2. Step 2: Convert to fraction form
   10,111.86/13,959.36 = 7,838.19/x
3. Step 3: Cross multiply
   10,111.86x = 13,959.36 × 7,838.19
4. Step 4: Simplify right side
   10,111.86x = 109,416,115.96
5. Step 5: Solve for x
   x = 109,416,115.96/10,111.86
6. Step 6: Final answer
   x = 10,820.57