Finding the Fourth Proportional to 1,004.60, 1,386.42 and 562.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.60 : 1,386.42 = 562.65 : x
2. Step 2: Convert to fraction form
   1,004.60/1,386.42 = 562.65/x
3. Step 3: Cross multiply
   1,004.60x = 1,386.42 × 562.65
4. Step 4: Simplify right side
   1,004.60x = 780,061.90
5. Step 5: Solve for x
   x = 780,061.90/1,004.60
6. Step 6: Final answer
   x = 776.49