Finding the Fourth Proportional to 1,034.10, 1,427.06 and 561.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,034.10 : 1,427.06 = 561.98 : x
2. Step 2: Convert to fraction form
   1,034.10/1,427.06 = 561.98/x
3. Step 3: Cross multiply
   1,034.10x = 1,427.06 × 561.98
4. Step 4: Simplify right side
   1,034.10x = 801,979.18
5. Step 5: Solve for x
   x = 801,979.18/1,034.10
6. Step 6: Final answer
   x = 775.53