Finding the Fourth Proportional to 1,007.34, 1,389.98 and 565.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.34 : 1,389.98 = 565.14 : x
2. Step 2: Convert to fraction form
   1,007.34/1,389.98 = 565.14/x
3. Step 3: Cross multiply
   1,007.34x = 1,389.98 × 565.14
4. Step 4: Simplify right side
   1,007.34x = 785,530.47
5. Step 5: Solve for x
   x = 785,530.47/1,007.34
6. Step 6: Final answer
   x = 779.81