Finding the Fourth Proportional to 10,784.34, 16,138.04 and 7,826.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784.34 : 16,138.04 = 7,826.22 : x
2. Step 2: Convert to fraction form
   10,784.34/16,138.04 = 7,826.22/x
3. Step 3: Cross multiply
   10,784.34x = 16,138.04 × 7,826.22
4. Step 4: Simplify right side
   10,784.34x = 126,299,812.28
5. Step 5: Solve for x
   x = 126,299,812.28/10,784.34
6. Step 6: Final answer
   x = 11,711.41