Finding the Fourth Proportional to 1,359.40, 2,037.72 and 538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,359.40 : 2,037.72 = 538.25 : x
2. Step 2: Convert to fraction form
   1,359.40/2,037.72 = 538.25/x
3. Step 3: Cross multiply
   1,359.40x = 2,037.72 × 538.25
4. Step 4: Simplify right side
   1,359.40x = 1,096,789.91
5. Step 5: Solve for x
   x = 1,096,789.91/1,359.40
6. Step 6: Final answer
   x = 806.82