Finding the Fourth Proportional to 1,004.94, 1,386.72 and 563.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.94 : 1,386.72 = 563.00 : x
2. Step 2: Convert to fraction form
   1,004.94/1,386.72 = 563.00/x
3. Step 3: Cross multiply
   1,004.94x = 1,386.72 × 563.00
4. Step 4: Simplify right side
   1,004.94x = 780,716.43
5. Step 5: Solve for x
   x = 780,716.43/1,004.94
6. Step 6: Final answer
   x = 776.88