Finding the Fourth Proportional to 1,312.37, 1,969.25 and 582.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,312.37 : 1,969.25 = 582.47 : x
2. Step 2: Convert to fraction form
   1,312.37/1,969.25 = 582.47/x
3. Step 3: Cross multiply
   1,312.37x = 1,969.25 × 582.47
4. Step 4: Simplify right side
   1,312.37x = 1,147,016.29
5. Step 5: Solve for x
   x = 1,147,016.29/1,312.37
6. Step 6: Final answer
   x = 874.01