Finding the Fourth Proportional to 1,688.13, 2,329.82 and 989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,688.13 : 2,329.82 = 989.50 : x
2. Step 2: Convert to fraction form
   1,688.13/2,329.82 = 989.50/x
3. Step 3: Cross multiply
   1,688.13x = 2,329.82 × 989.50
4. Step 4: Simplify right side
   1,688.13x = 2,305,356.89
5. Step 5: Solve for x
   x = 2,305,356.89/1,688.13
6. Step 6: Final answer
   x = 1,365.63