Finding the Fourth Proportional to 1,171.18, 1,616.40 and 705.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.18 : 1,616.40 = 705.42 : x
2. Step 2: Convert to fraction form
   1,171.18/1,616.40 = 705.42/x
3. Step 3: Cross multiply
   1,171.18x = 1,616.40 × 705.42
4. Step 4: Simplify right side
   1,171.18x = 1,140,240.89
5. Step 5: Solve for x
   x = 1,140,240.89/1,171.18
6. Step 6: Final answer
   x = 973.58