Finding the Fourth Proportional to 1,147.02, 1,583.57 and 831.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.02 : 1,583.57 = 831.98 : x
2. Step 2: Convert to fraction form
   1,147.02/1,583.57 = 831.98/x
3. Step 3: Cross multiply
   1,147.02x = 1,583.57 × 831.98
4. Step 4: Simplify right side
   1,147.02x = 1,317,501.34
5. Step 5: Solve for x
   x = 1,317,501.34/1,147.02
6. Step 6: Final answer
   x = 1,148.63