Finding the Fourth Proportional to 1,139.82, 1,708.38 and 523.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,139.82 : 1,708.38 = 523.01 : x
2. Step 2: Convert to fraction form
   1,139.82/1,708.38 = 523.01/x
3. Step 3: Cross multiply
   1,139.82x = 1,708.38 × 523.01
4. Step 4: Simplify right side
   1,139.82x = 893,491.28
5. Step 5: Solve for x
   x = 893,491.28/1,139.82
6. Step 6: Final answer
   x = 783.89