Finding the Fourth Proportional to 1,092.21, 1,506.83 and 699.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.21 : 1,506.83 = 699.47 : x
2. Step 2: Convert to fraction form
   1,092.21/1,506.83 = 699.47/x
3. Step 3: Cross multiply
   1,092.21x = 1,506.83 × 699.47
4. Step 4: Simplify right side
   1,092.21x = 1,053,971.35
5. Step 5: Solve for x
   x = 1,053,971.35/1,092.21
6. Step 6: Final answer
   x = 964.99