Finding the Fourth Proportional to 1,016.22, 1,402.41 and 561.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.22 : 1,402.41 = 561.96 : x
2. Step 2: Convert to fraction form
   1,016.22/1,402.41 = 561.96/x
3. Step 3: Cross multiply
   1,016.22x = 1,402.41 × 561.96
4. Step 4: Simplify right side
   1,016.22x = 788,098.32
5. Step 5: Solve for x
   x = 788,098.32/1,016.22
6. Step 6: Final answer
   x = 775.52