Finding the Fourth Proportional to 1,151.13, 1,588.69 and 685.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.13 : 1,588.69 = 685.38 : x
2. Step 2: Convert to fraction form
   1,151.13/1,588.69 = 685.38/x
3. Step 3: Cross multiply
   1,151.13x = 1,588.69 × 685.38
4. Step 4: Simplify right side
   1,151.13x = 1,088,856.35
5. Step 5: Solve for x
   x = 1,088,856.35/1,151.13
6. Step 6: Final answer
   x = 945.90