Finding the Fourth Proportional to 1,086.84, 1,629.72 and 538.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.84 : 1,629.72 = 538.02 : x
2. Step 2: Convert to fraction form
   1,086.84/1,629.72 = 538.02/x
3. Step 3: Cross multiply
   1,086.84x = 1,629.72 × 538.02
4. Step 4: Simplify right side
   1,086.84x = 876,821.95
5. Step 5: Solve for x
   x = 876,821.95/1,086.84
6. Step 6: Final answer
   x = 806.76