Finding the Fourth Proportional to 1,139.65, 1,708.88 and 522.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,139.65 : 1,708.88 = 522.82 : x
2. Step 2: Convert to fraction form
   1,139.65/1,708.88 = 522.82/x
3. Step 3: Cross multiply
   1,139.65x = 1,708.88 × 522.82
4. Step 4: Simplify right side
   1,139.65x = 893,429.76
5. Step 5: Solve for x
   x = 893,429.76/1,139.65
6. Step 6: Final answer
   x = 783.95