Finding the Fourth Proportional to 1,222.96, 1,830.84 and 759.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.96 : 1,830.84 = 759.25 : x
2. Step 2: Convert to fraction form
   1,222.96/1,830.84 = 759.25/x
3. Step 3: Cross multiply
   1,222.96x = 1,830.84 × 759.25
4. Step 4: Simplify right side
   1,222.96x = 1,390,065.27
5. Step 5: Solve for x
   x = 1,390,065.27/1,222.96
6. Step 6: Final answer
   x = 1,136.64