Finding the Fourth Proportional to 1,346.56, 2,020.56 and 577.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,346.56 : 2,020.56 = 577.12 : x
2. Step 2: Convert to fraction form
   1,346.56/2,020.56 = 577.12/x
3. Step 3: Cross multiply
   1,346.56x = 2,020.56 × 577.12
4. Step 4: Simplify right side
   1,346.56x = 1,166,105.59
5. Step 5: Solve for x
   x = 1,166,105.59/1,346.56
6. Step 6: Final answer
   x = 865.99