Finding the Fourth Proportional to 1,004.74, 1,386.60 and 562.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.74 : 1,386.60 = 562.62 : x
2. Step 2: Convert to fraction form
   1,004.74/1,386.60 = 562.62/x
3. Step 3: Cross multiply
   1,004.74x = 1,386.60 × 562.62
4. Step 4: Simplify right side
   1,004.74x = 780,128.89
5. Step 5: Solve for x
   x = 780,128.89/1,004.74
6. Step 6: Final answer
   x = 776.45