Finding the Fourth Proportional to 10,826.58, 14,942.10 and 6,111

Step by Step Solution

1. Step 1: Write the proportion equation
   10,826.58 : 14,942.10 = 6,111 : x
2. Step 2: Convert to fraction form
   10,826.58/14,942.10 = 6,111/x
3. Step 3: Cross multiply
   10,826.58x = 14,942.10 × 6,111
4. Step 4: Simplify right side
   10,826.58x = 91,311,173.10
5. Step 5: Solve for x
   x = 91,311,173.10/10,826.58
6. Step 6: Final answer
   x = 8,433.98