Finding the Fourth Proportional to 7,196.31, 10,784.61 and 3,678.95

Step by Step Solution

1. Step 1: Write the proportion equation
   7,196.31 : 10,784.61 = 3,678.95 : x
2. Step 2: Convert to fraction form
   7,196.31/10,784.61 = 3,678.95/x
3. Step 3: Cross multiply
   7,196.31x = 10,784.61 × 3,678.95
4. Step 4: Simplify right side
   7,196.31x = 39,676,067.92
5. Step 5: Solve for x
   x = 39,676,067.92/7,196.31
6. Step 6: Final answer
   x = 5,513.39