Finding the Fourth Proportional to 1,199.69, 1,655.57 and 675.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.69 : 1,655.57 = 675.89 : x
2. Step 2: Convert to fraction form
   1,199.69/1,655.57 = 675.89/x
3. Step 3: Cross multiply
   1,199.69x = 1,655.57 × 675.89
4. Step 4: Simplify right side
   1,199.69x = 1,118,979.83
5. Step 5: Solve for x
   x = 1,118,979.83/1,199.69
6. Step 6: Final answer
   x = 932.72