Finding the Fourth Proportional to 7,196.46, 10,774.62 and 3,678.90

Step by Step Solution

1. Step 1: Write the proportion equation
   7,196.46 : 10,774.62 = 3,678.90 : x
2. Step 2: Convert to fraction form
   7,196.46/10,774.62 = 3,678.90/x
3. Step 3: Cross multiply
   7,196.46x = 10,774.62 × 3,678.90
4. Step 4: Simplify right side
   7,196.46x = 39,638,749.52
5. Step 5: Solve for x
   x = 39,638,749.52/7,196.46
6. Step 6: Final answer
   x = 5,508.09