Finding the Fourth Proportional to 1,108.21, 1,661.80 and 588.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,108.21 : 1,661.80 = 588.82 : x
2. Step 2: Convert to fraction form
   1,108.21/1,661.80 = 588.82/x
3. Step 3: Cross multiply
   1,108.21x = 1,661.80 × 588.82
4. Step 4: Simplify right side
   1,108.21x = 978,499.60
5. Step 5: Solve for x
   x = 978,499.60/1,108.21
6. Step 6: Final answer
   x = 882.96