Finding the Fourth Proportional to 6,456.32, 8,906.43 and 4,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.32 : 8,906.43 = 4,219.50 : x
2. Step 2: Convert to fraction form
   6,456.32/8,906.43 = 4,219.50/x
3. Step 3: Cross multiply
   6,456.32x = 8,906.43 × 4,219.50
4. Step 4: Simplify right side
   6,456.32x = 37,580,681.39
5. Step 5: Solve for x
   x = 37,580,681.39/6,456.32
6. Step 6: Final answer
   x = 5,820.76