Finding the Fourth Proportional to 1,510.28, 2,264.34 and 688.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.28 : 2,264.34 = 688.14 : x
2. Step 2: Convert to fraction form
   1,510.28/2,264.34 = 688.14/x
3. Step 3: Cross multiply
   1,510.28x = 2,264.34 × 688.14
4. Step 4: Simplify right side
   1,510.28x = 1,558,182.93
5. Step 5: Solve for x
   x = 1,558,182.93/1,510.28
6. Step 6: Final answer
   x = 1,031.72