Finding the Fourth Proportional to 5,160.27, 7,737.50 and 1,649.46

Step by Step Solution

1. Step 1: Write the proportion equation
   5,160.27 : 7,737.50 = 1,649.46 : x
2. Step 2: Convert to fraction form
   5,160.27/7,737.50 = 1,649.46/x
3. Step 3: Cross multiply
   5,160.27x = 7,737.50 × 1,649.46
4. Step 4: Simplify right side
   5,160.27x = 12,762,688.50
5. Step 5: Solve for x
   x = 12,762,688.50/5,160.27
6. Step 6: Final answer
   x = 2,473.26