Finding the Fourth Proportional to 1,133.58, 1,564.53 and 661.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,133.58 : 1,564.53 = 661.55 : x
2. Step 2: Convert to fraction form
   1,133.58/1,564.53 = 661.55/x
3. Step 3: Cross multiply
   1,133.58x = 1,564.53 × 661.55
4. Step 4: Simplify right side
   1,133.58x = 1,035,014.82
5. Step 5: Solve for x
   x = 1,035,014.82/1,133.58
6. Step 6: Final answer
   x = 913.05