Finding the Fourth Proportional to 5,196.30, 7,178.67 and 4,677.90

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.30 : 7,178.67 = 4,677.90 : x
2. Step 2: Convert to fraction form
   5,196.30/7,178.67 = 4,677.90/x
3. Step 3: Cross multiply
   5,196.30x = 7,178.67 × 4,677.90
4. Step 4: Simplify right side
   5,196.30x = 33,581,100.39
5. Step 5: Solve for x
   x = 33,581,100.39/5,196.30
6. Step 6: Final answer
   x = 6,462.50