Finding the Fourth Proportional to 1,501.72, 2,252.64 and 680.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.72 : 2,252.64 = 680.10 : x
2. Step 2: Convert to fraction form
   1,501.72/2,252.64 = 680.10/x
3. Step 3: Cross multiply
   1,501.72x = 2,252.64 × 680.10
4. Step 4: Simplify right side
   1,501.72x = 1,532,020.46
5. Step 5: Solve for x
   x = 1,532,020.46/1,501.72
6. Step 6: Final answer
   x = 1,020.18