Finding the Fourth Proportional to 1,092.54, 1,506.69 and 699.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.54 : 1,506.69 = 699.06 : x
2. Step 2: Convert to fraction form
   1,092.54/1,506.69 = 699.06/x
3. Step 3: Cross multiply
   1,092.54x = 1,506.69 × 699.06
4. Step 4: Simplify right side
   1,092.54x = 1,053,266.71
5. Step 5: Solve for x
   x = 1,053,266.71/1,092.54
6. Step 6: Final answer
   x = 964.05