Finding the Fourth Proportional to 6,461.59, 8,916.96 and 3,628.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,461.59 : 8,916.96 = 3,628.96 : x
2. Step 2: Convert to fraction form
   6,461.59/8,916.96 = 3,628.96/x
3. Step 3: Cross multiply
   6,461.59x = 8,916.96 × 3,628.96
4. Step 4: Simplify right side
   6,461.59x = 32,359,273.02
5. Step 5: Solve for x
   x = 32,359,273.02/6,461.59
6. Step 6: Final answer
   x = 5,007.95