Finding the Fourth Proportional to 1,231.50, 1,845.83 and 538.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,231.50 : 1,845.83 = 538.00 : x
2. Step 2: Convert to fraction form
   1,231.50/1,845.83 = 538.00/x
3. Step 3: Cross multiply
   1,231.50x = 1,845.83 × 538.00
4. Step 4: Simplify right side
   1,231.50x = 993,062.14
5. Step 5: Solve for x
   x = 993,062.14/1,231.50
6. Step 6: Final answer
   x = 806.39