Finding the Fourth Proportional to 1,164.69, 1,745.69 and 538.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.69 : 1,745.69 = 538.68 : x
2. Step 2: Convert to fraction form
   1,164.69/1,745.69 = 538.68/x
3. Step 3: Cross multiply
   1,164.69x = 1,745.69 × 538.68
4. Step 4: Simplify right side
   1,164.69x = 940,365.60
5. Step 5: Solve for x
   x = 940,365.60/1,164.69
6. Step 6: Final answer
   x = 807.40