Finding the Fourth Proportional to 1,027.56, 1,417.98 and 561.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.56 : 1,417.98 = 561.72 : x
2. Step 2: Convert to fraction form
   1,027.56/1,417.98 = 561.72/x
3. Step 3: Cross multiply
   1,027.56x = 1,417.98 × 561.72
4. Step 4: Simplify right side
   1,027.56x = 796,507.73
5. Step 5: Solve for x
   x = 796,507.73/1,027.56
6. Step 6: Final answer
   x = 775.14