Finding the Fourth Proportional to 1,004.90, 1,386.78 and 562.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.90 : 1,386.78 = 562.82 : x
2. Step 2: Convert to fraction form
   1,004.90/1,386.78 = 562.82/x
3. Step 3: Cross multiply
   1,004.90x = 1,386.78 × 562.82
4. Step 4: Simplify right side
   1,004.90x = 780,507.52
5. Step 5: Solve for x
   x = 780,507.52/1,004.90
6. Step 6: Final answer
   x = 776.70