Finding the Fourth Proportional to 1,688.82, 2,530.71 and 1,382.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,688.82 : 2,530.71 = 1,382.82 : x
2. Step 2: Convert to fraction form
   1,688.82/2,530.71 = 1,382.82/x
3. Step 3: Cross multiply
   1,688.82x = 2,530.71 × 1,382.82
4. Step 4: Simplify right side
   1,688.82x = 3,499,516.40
5. Step 5: Solve for x
   x = 3,499,516.40/1,688.82
6. Step 6: Final answer
   x = 2,072.17