Finding the Fourth Proportional to 1,004.71, 1,386.53 and 562.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.71 : 1,386.53 = 562.60 : x
2. Step 2: Convert to fraction form
   1,004.71/1,386.53 = 562.60/x
3. Step 3: Cross multiply
   1,004.71x = 1,386.53 × 562.60
4. Step 4: Simplify right side
   1,004.71x = 780,061.78
5. Step 5: Solve for x
   x = 780,061.78/1,004.71
6. Step 6: Final answer
   x = 776.40