Finding the Fourth Proportional to 1,142.52, 1,576.68 and 676.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.52 : 1,576.68 = 676.80 : x
2. Step 2: Convert to fraction form
   1,142.52/1,576.68 = 676.80/x
3. Step 3: Cross multiply
   1,142.52x = 1,576.68 × 676.80
4. Step 4: Simplify right side
   1,142.52x = 1,067,097.02
5. Step 5: Solve for x
   x = 1,067,097.02/1,142.52
6. Step 6: Final answer
   x = 933.99