Finding the Fourth Proportional to 6,456.89, 8,911.14 and 4,219.67

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.89 : 8,911.14 = 4,219.67 : x
2. Step 2: Convert to fraction form
   6,456.89/8,911.14 = 4,219.67/x
3. Step 3: Cross multiply
   6,456.89x = 8,911.14 × 4,219.67
4. Step 4: Simplify right side
   6,456.89x = 37,602,070.12
5. Step 5: Solve for x
   x = 37,602,070.12/6,456.89
6. Step 6: Final answer
   x = 5,823.56