Finding the Fourth Proportional to 6,417.50, 8,856.05 and 3,584.91

Step by Step Solution

1. Step 1: Write the proportion equation
   6,417.50 : 8,856.05 = 3,584.91 : x
2. Step 2: Convert to fraction form
   6,417.50/8,856.05 = 3,584.91/x
3. Step 3: Cross multiply
   6,417.50x = 8,856.05 × 3,584.91
4. Step 4: Simplify right side
   6,417.50x = 31,748,124.28
5. Step 5: Solve for x
   x = 31,748,124.28/6,417.50
6. Step 6: Final answer
   x = 4,947.12