Finding the Fourth Proportional to 1,171.89, 1,758.24 and 522.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.89 : 1,758.24 = 522.88 : x
2. Step 2: Convert to fraction form
   1,171.89/1,758.24 = 522.88/x
3. Step 3: Cross multiply
   1,171.89x = 1,758.24 × 522.88
4. Step 4: Simplify right side
   1,171.89x = 919,344.14
5. Step 5: Solve for x
   x = 919,344.14/1,171.89
6. Step 6: Final answer
   x = 784.50