Finding the Fourth Proportional to 1,131.48, 1,697.25 and 538.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.48 : 1,697.25 = 538.37 : x
2. Step 2: Convert to fraction form
   1,131.48/1,697.25 = 538.37/x
3. Step 3: Cross multiply
   1,131.48x = 1,697.25 × 538.37
4. Step 4: Simplify right side
   1,131.48x = 913,748.48
5. Step 5: Solve for x
   x = 913,748.48/1,131.48
6. Step 6: Final answer
   x = 807.57