Finding the Fourth Proportional to 1,913.10, 2,869.72 and 680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,913.10 : 2,869.72 = 680.50 : x
2. Step 2: Convert to fraction form
   1,913.10/2,869.72 = 680.50/x
3. Step 3: Cross multiply
   1,913.10x = 2,869.72 × 680.50
4. Step 4: Simplify right side
   1,913.10x = 1,952,844.46
5. Step 5: Solve for x
   x = 1,952,844.46/1,913.10
6. Step 6: Final answer
   x = 1,020.77