Finding the Fourth Proportional to 1,017.23, 1,402.61 and 830.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.23 : 1,402.61 = 830.14 : x
2. Step 2: Convert to fraction form
   1,017.23/1,402.61 = 830.14/x
3. Step 3: Cross multiply
   1,017.23x = 1,402.61 × 830.14
4. Step 4: Simplify right side
   1,017.23x = 1,164,355.01
5. Step 5: Solve for x
   x = 1,164,355.01/1,017.23
6. Step 6: Final answer
   x = 1,144.64