Finding the Fourth Proportional to 1,688.69, 2,533.01 and 866.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,688.69 : 2,533.01 = 866.52 : x
2. Step 2: Convert to fraction form
   1,688.69/2,533.01 = 866.52/x
3. Step 3: Cross multiply
   1,688.69x = 2,533.01 × 866.52
4. Step 4: Simplify right side
   1,688.69x = 2,194,903.83
5. Step 5: Solve for x
   x = 2,194,903.83/1,688.69
6. Step 6: Final answer
   x = 1,299.77