Finding the Fourth Proportional to 1,190.24, 1,782.72 and 914.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,190.24 : 1,782.72 = 914.30 : x
2. Step 2: Convert to fraction form
   1,190.24/1,782.72 = 914.30/x
3. Step 3: Cross multiply
   1,190.24x = 1,782.72 × 914.30
4. Step 4: Simplify right side
   1,190.24x = 1,629,940.90
5. Step 5: Solve for x
   x = 1,629,940.90/1,190.24
6. Step 6: Final answer
   x = 1,369.42