Finding the Fourth Proportional to 1,111.77, 1,666.73 and 564.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.77 : 1,666.73 = 564.62 : x
2. Step 2: Convert to fraction form
   1,111.77/1,666.73 = 564.62/x
3. Step 3: Cross multiply
   1,111.77x = 1,666.73 × 564.62
4. Step 4: Simplify right side
   1,111.77x = 941,057.94
5. Step 5: Solve for x
   x = 941,057.94/1,111.77
6. Step 6: Final answer
   x = 846.45