Finding the Fourth Proportional to 1,137.89, 1,706.37 and 522.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.89 : 1,706.37 = 522.02 : x
2. Step 2: Convert to fraction form
   1,137.89/1,706.37 = 522.02/x
3. Step 3: Cross multiply
   1,137.89x = 1,706.37 × 522.02
4. Step 4: Simplify right side
   1,137.89x = 890,759.27
5. Step 5: Solve for x
   x = 890,759.27/1,137.89
6. Step 6: Final answer
   x = 782.82