Finding the Fourth Proportional to 1,138.91, 1,707.86 and 522.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,138.91 : 1,707.86 = 522.82 : x
2. Step 2: Convert to fraction form
   1,138.91/1,707.86 = 522.82/x
3. Step 3: Cross multiply
   1,138.91x = 1,707.86 × 522.82
4. Step 4: Simplify right side
   1,138.91x = 892,900.40
5. Step 5: Solve for x
   x = 892,900.40/1,138.91
6. Step 6: Final answer
   x = 783.99