Finding the Fourth Proportional to 1,172.52, 1,758.72 and 523.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.52 : 1,758.72 = 523.29 : x
2. Step 2: Convert to fraction form
   1,172.52/1,758.72 = 523.29/x
3. Step 3: Cross multiply
   1,172.52x = 1,758.72 × 523.29
4. Step 4: Simplify right side
   1,172.52x = 920,320.59
5. Step 5: Solve for x
   x = 920,320.59/1,172.52
6. Step 6: Final answer
   x = 784.91