Finding the Fourth Proportional to 1,136.38, 1,705.94 and 520.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,136.38 : 1,705.94 = 520.24 : x
2. Step 2: Convert to fraction form
   1,136.38/1,705.94 = 520.24/x
3. Step 3: Cross multiply
   1,136.38x = 1,705.94 × 520.24
4. Step 4: Simplify right side
   1,136.38x = 887,498.23
5. Step 5: Solve for x
   x = 887,498.23/1,136.38
6. Step 6: Final answer
   x = 780.99