Finding the Fourth Proportional to 1,004.46, 1,386.15 and 562.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.46 : 1,386.15 = 562.37 : x
2. Step 2: Convert to fraction form
   1,004.46/1,386.15 = 562.37/x
3. Step 3: Cross multiply
   1,004.46x = 1,386.15 × 562.37
4. Step 4: Simplify right side
   1,004.46x = 779,522.24
5. Step 5: Solve for x
   x = 779,522.24/1,004.46
6. Step 6: Final answer
   x = 776.06