Finding the Fourth Proportional to 1,164.15, 1,743.17 and 978.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.15 : 1,743.17 = 978.60 : x
2. Step 2: Convert to fraction form
   1,164.15/1,743.17 = 978.60/x
3. Step 3: Cross multiply
   1,164.15x = 1,743.17 × 978.60
4. Step 4: Simplify right side
   1,164.15x = 1,705,861.27
5. Step 5: Solve for x
   x = 1,705,861.27/1,164.15
6. Step 6: Final answer
   x = 1,465.33