Finding the Fourth Proportional to 1,004.86, 1,386.52 and 562.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.86 : 1,386.52 = 562.76 : x
2. Step 2: Convert to fraction form
   1,004.86/1,386.52 = 562.76/x
3. Step 3: Cross multiply
   1,004.86x = 1,386.52 × 562.76
4. Step 4: Simplify right side
   1,004.86x = 780,278.00
5. Step 5: Solve for x
   x = 780,278.00/1,004.86
6. Step 6: Final answer
   x = 776.51