Finding the Fourth Proportional to 5,196.28, 7,178.10 and 4,636.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.28 : 7,178.10 = 4,636.56 : x
2. Step 2: Convert to fraction form
   5,196.28/7,178.10 = 4,636.56/x
3. Step 3: Cross multiply
   5,196.28x = 7,178.10 × 4,636.56
4. Step 4: Simplify right side
   5,196.28x = 33,281,691.34
5. Step 5: Solve for x
   x = 33,281,691.34/5,196.28
6. Step 6: Final answer
   x = 6,404.91