Finding the Fourth Proportional to 7,012.91, 9,677.61 and 3,826.26

Step by Step Solution

1. Step 1: Write the proportion equation
   7,012.91 : 9,677.61 = 3,826.26 : x
2. Step 2: Convert to fraction form
   7,012.91/9,677.61 = 3,826.26/x
3. Step 3: Cross multiply
   7,012.91x = 9,677.61 × 3,826.26
4. Step 4: Simplify right side
   7,012.91x = 37,029,052.04
5. Step 5: Solve for x
   x = 37,029,052.04/7,012.91
6. Step 6: Final answer
   x = 5,280.13