Finding the Fourth Proportional to 5,196.86, 7,830.37 and 4,292.67

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.86 : 7,830.37 = 4,292.67 : x
2. Step 2: Convert to fraction form
   5,196.86/7,830.37 = 4,292.67/x
3. Step 3: Cross multiply
   5,196.86x = 7,830.37 × 4,292.67
4. Step 4: Simplify right side
   5,196.86x = 33,613,172.92
5. Step 5: Solve for x
   x = 33,613,172.92/5,196.86
6. Step 6: Final answer
   x = 6,467.98