Finding the Fourth Proportional to 1,004.93, 1,386.79 and 562.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.93 : 1,386.79 = 562.83 : x
2. Step 2: Convert to fraction form
   1,004.93/1,386.79 = 562.83/x
3. Step 3: Cross multiply
   1,004.93x = 1,386.79 × 562.83
4. Step 4: Simplify right side
   1,004.93x = 780,527.02
5. Step 5: Solve for x
   x = 780,527.02/1,004.93
6. Step 6: Final answer
   x = 776.70