Finding the Fourth Proportional to 1,009.08, 1,510.71 and 683.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.08 : 1,510.71 = 683.85 : x
2. Step 2: Convert to fraction form
   1,009.08/1,510.71 = 683.85/x
3. Step 3: Cross multiply
   1,009.08x = 1,510.71 × 683.85
4. Step 4: Simplify right side
   1,009.08x = 1,033,099.03
5. Step 5: Solve for x
   x = 1,033,099.03/1,009.08
6. Step 6: Final answer
   x = 1,023.80