Finding the Fourth Proportional to 1,007.48, 1,390.31 and 565.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.48 : 1,390.31 = 565.37 : x
2. Step 2: Convert to fraction form
   1,007.48/1,390.31 = 565.37/x
3. Step 3: Cross multiply
   1,007.48x = 1,390.31 × 565.37
4. Step 4: Simplify right side
   1,007.48x = 786,040.30
5. Step 5: Solve for x
   x = 786,040.30/1,007.48
6. Step 6: Final answer
   x = 780.21