Finding the Fourth Proportional to 5,151.28, 7,727.01 and 1,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,151.28 : 7,727.01 = 1,688.50 : x
2. Step 2: Convert to fraction form
   5,151.28/7,727.01 = 1,688.50/x
3. Step 3: Cross multiply
   5,151.28x = 7,727.01 × 1,688.50
4. Step 4: Simplify right side
   5,151.28x = 13,047,056.39
5. Step 5: Solve for x
   x = 13,047,056.39/5,151.28
6. Step 6: Final answer
   x = 2,532.78