Finding the Fourth Proportional to 1,026.82, 1,417.03 and 561.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.82 : 1,417.03 = 561.06 : x
2. Step 2: Convert to fraction form
   1,026.82/1,417.03 = 561.06/x
3. Step 3: Cross multiply
   1,026.82x = 1,417.03 × 561.06
4. Step 4: Simplify right side
   1,026.82x = 795,038.85
5. Step 5: Solve for x
   x = 795,038.85/1,026.82
6. Step 6: Final answer
   x = 774.27