Finding the Fourth Proportional to 11,826.81, 17,744.94 and 4,807.35

Step by Step Solution

1. Step 1: Write the proportion equation
   11,826.81 : 17,744.94 = 4,807.35 : x
2. Step 2: Convert to fraction form
   11,826.81/17,744.94 = 4,807.35/x
3. Step 3: Cross multiply
   11,826.81x = 17,744.94 × 4,807.35
4. Step 4: Simplify right side
   11,826.81x = 85,306,137.31
5. Step 5: Solve for x
   x = 85,306,137.31/11,826.81
6. Step 6: Final answer
   x = 7,212.95