Finding the Fourth Proportional to 1,317.69, 1,976.52 and 578.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,317.69 : 1,976.52 = 578.02 : x
2. Step 2: Convert to fraction form
   1,317.69/1,976.52 = 578.02/x
3. Step 3: Cross multiply
   1,317.69x = 1,976.52 × 578.02
4. Step 4: Simplify right side
   1,317.69x = 1,142,468.09
5. Step 5: Solve for x
   x = 1,142,468.09/1,317.69
6. Step 6: Final answer
   x = 867.02