Finding the Fourth Proportional to 1,171.50, 1,758.10 and 522.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.50 : 1,758.10 = 522.06 : x
2. Step 2: Convert to fraction form
   1,171.50/1,758.10 = 522.06/x
3. Step 3: Cross multiply
   1,171.50x = 1,758.10 × 522.06
4. Step 4: Simplify right side
   1,171.50x = 917,833.69
5. Step 5: Solve for x
   x = 917,833.69/1,171.50
6. Step 6: Final answer
   x = 783.47