Finding the Fourth Proportional to 1,004.68, 1,386.53 and 562.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.68 : 1,386.53 = 562.72 : x
2. Step 2: Convert to fraction form
   1,004.68/1,386.53 = 562.72/x
3. Step 3: Cross multiply
   1,004.68x = 1,386.53 × 562.72
4. Step 4: Simplify right side
   1,004.68x = 780,228.16
5. Step 5: Solve for x
   x = 780,228.16/1,004.68
6. Step 6: Final answer
   x = 776.59