Finding the Fourth Proportional to 1,093.69, 1,639.72 and 538.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,093.69 : 1,639.72 = 538.03 : x
2. Step 2: Convert to fraction form
   1,093.69/1,639.72 = 538.03/x
3. Step 3: Cross multiply
   1,093.69x = 1,639.72 × 538.03
4. Step 4: Simplify right side
   1,093.69x = 882,218.55
5. Step 5: Solve for x
   x = 882,218.55/1,093.69
6. Step 6: Final answer
   x = 806.64