Finding the Fourth Proportional to 1,004.70, 1,386.52 and 562.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.70 : 1,386.52 = 562.64 : x
2. Step 2: Convert to fraction form
   1,004.70/1,386.52 = 562.64/x
3. Step 3: Cross multiply
   1,004.70x = 1,386.52 × 562.64
4. Step 4: Simplify right side
   1,004.70x = 780,111.61
5. Step 5: Solve for x
   x = 780,111.61/1,004.70
6. Step 6: Final answer
   x = 776.46