Finding the Fourth Proportional to 7,013.47, 9,678.62 and 3,826.80

Step by Step Solution

1. Step 1: Write the proportion equation
   7,013.47 : 9,678.62 = 3,826.80 : x
2. Step 2: Convert to fraction form
   7,013.47/9,678.62 = 3,826.80/x
3. Step 3: Cross multiply
   7,013.47x = 9,678.62 × 3,826.80
4. Step 4: Simplify right side
   7,013.47x = 37,038,143.02
5. Step 5: Solve for x
   x = 37,038,143.02/7,013.47
6. Step 6: Final answer
   x = 5,281.00