Finding the Fourth Proportional to 1,147.59, 1,583.69 and 681.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.59 : 1,583.69 = 681.75 : x
2. Step 2: Convert to fraction form
   1,147.59/1,583.69 = 681.75/x
3. Step 3: Cross multiply
   1,147.59x = 1,583.69 × 681.75
4. Step 4: Simplify right side
   1,147.59x = 1,079,677.25
5. Step 5: Solve for x
   x = 1,079,677.25/1,147.59
6. Step 6: Final answer
   x = 940.82