Finding the Fourth Proportional to 1,086.06, 1,629.90 and 538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.06 : 1,629.90 = 538.50 : x
2. Step 2: Convert to fraction form
   1,086.06/1,629.90 = 538.50/x
3. Step 3: Cross multiply
   1,086.06x = 1,629.90 × 538.50
4. Step 4: Simplify right side
   1,086.06x = 877,701.15
5. Step 5: Solve for x
   x = 877,701.15/1,086.06
6. Step 6: Final answer
   x = 808.15