Finding the Fourth Proportional to 1,108.88, 1,661.84 and 588.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,108.88 : 1,661.84 = 588.78 : x
2. Step 2: Convert to fraction form
   1,108.88/1,661.84 = 588.78/x
3. Step 3: Cross multiply
   1,108.88x = 1,661.84 × 588.78
4. Step 4: Simplify right side
   1,108.88x = 978,458.16
5. Step 5: Solve for x
   x = 978,458.16/1,108.88
6. Step 6: Final answer
   x = 882.38