Finding the Fourth Proportional to 1,004.87, 1,386.72 and 562.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.87 : 1,386.72 = 562.78 : x
2. Step 2: Convert to fraction form
   1,004.87/1,386.72 = 562.78/x
3. Step 3: Cross multiply
   1,004.87x = 1,386.72 × 562.78
4. Step 4: Simplify right side
   1,004.87x = 780,421.60
5. Step 5: Solve for x
   x = 780,421.60/1,004.87
6. Step 6: Final answer
   x = 776.64