Finding the Fourth Proportional to 1,388.06, 2,081.82 and 522.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,388.06 : 2,081.82 = 522.08 : x
2. Step 2: Convert to fraction form
   1,388.06/2,081.82 = 522.08/x
3. Step 3: Cross multiply
   1,388.06x = 2,081.82 × 522.08
4. Step 4: Simplify right side
   1,388.06x = 1,086,876.59
5. Step 5: Solve for x
   x = 1,086,876.59/1,388.06
6. Step 6: Final answer
   x = 783.02