Finding the Fourth Proportional to 1,171.50, 1,616.70 and 705.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.50 : 1,616.70 = 705.78 : x
2. Step 2: Convert to fraction form
   1,171.50/1,616.70 = 705.78/x
3. Step 3: Cross multiply
   1,171.50x = 1,616.70 × 705.78
4. Step 4: Simplify right side
   1,171.50x = 1,141,034.53
5. Step 5: Solve for x
   x = 1,141,034.53/1,171.50
6. Step 6: Final answer
   x = 973.99