Finding the Fourth Proportional to 1,036.50, 1,431.59 and 686.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.50 : 1,431.59 = 686.58 : x
2. Step 2: Convert to fraction form
   1,036.50/1,431.59 = 686.58/x
3. Step 3: Cross multiply
   1,036.50x = 1,431.59 × 686.58
4. Step 4: Simplify right side
   1,036.50x = 982,897.63
5. Step 5: Solve for x
   x = 982,897.63/1,036.50
6. Step 6: Final answer
   x = 948.29