Finding the Fourth Proportional to 1,092.53, 1,507.29 and 699.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.53 : 1,507.29 = 699.78 : x
2. Step 2: Convert to fraction form
   1,092.53/1,507.29 = 699.78/x
3. Step 3: Cross multiply
   1,092.53x = 1,507.29 × 699.78
4. Step 4: Simplify right side
   1,092.53x = 1,054,775.82
5. Step 5: Solve for x
   x = 1,054,775.82/1,092.53
6. Step 6: Final answer
   x = 965.44