Finding the Fourth Proportional to 1,026.98, 1,417.24 and 561.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.98 : 1,417.24 = 561.23 : x
2. Step 2: Convert to fraction form
   1,026.98/1,417.24 = 561.23/x
3. Step 3: Cross multiply
   1,026.98x = 1,417.24 × 561.23
4. Step 4: Simplify right side
   1,026.98x = 795,404.51
5. Step 5: Solve for x
   x = 795,404.51/1,026.98
6. Step 6: Final answer
   x = 774.50