Finding the Fourth Proportional to 1,507.77, 2,262.72 and 686.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507.77 : 2,262.72 = 686.15 : x
2. Step 2: Convert to fraction form
   1,507.77/2,262.72 = 686.15/x
3. Step 3: Cross multiply
   1,507.77x = 2,262.72 × 686.15
4. Step 4: Simplify right side
   1,507.77x = 1,552,556.84
5. Step 5: Solve for x
   x = 1,552,556.84/1,507.77
6. Step 6: Final answer
   x = 1,029.71