Finding the Fourth Proportional to 1,026.95, 1,417.17 and 561.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.95 : 1,417.17 = 561.20 : x
2. Step 2: Convert to fraction form
   1,026.95/1,417.17 = 561.20/x
3. Step 3: Cross multiply
   1,026.95x = 1,417.17 × 561.20
4. Step 4: Simplify right side
   1,026.95x = 795,308.72
5. Step 5: Solve for x
   x = 795,308.72/1,026.95
6. Step 6: Final answer
   x = 774.44