Finding the Fourth Proportional to 1,026.80, 1,416.98 and 561.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.80 : 1,416.98 = 561.05 : x
2. Step 2: Convert to fraction form
   1,026.80/1,416.98 = 561.05/x
3. Step 3: Cross multiply
   1,026.80x = 1,416.98 × 561.05
4. Step 4: Simplify right side
   1,026.80x = 794,996.63
5. Step 5: Solve for x
   x = 794,996.63/1,026.80
6. Step 6: Final answer
   x = 774.25