Finding the Fourth Proportional to 7,013.19, 9,678.06 and 3,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,013.19 : 9,678.06 = 3,826.50 : x
2. Step 2: Convert to fraction form
   7,013.19/9,678.06 = 3,826.50/x
3. Step 3: Cross multiply
   7,013.19x = 9,678.06 × 3,826.50
4. Step 4: Simplify right side
   7,013.19x = 37,033,096.59
5. Step 5: Solve for x
   x = 37,033,096.59/7,013.19
6. Step 6: Final answer
   x = 5,280.49