Finding the Fourth Proportional to 1,109.77, 1,663.23 and 590.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.77 : 1,663.23 = 590.02 : x
2. Step 2: Convert to fraction form
   1,109.77/1,663.23 = 590.02/x
3. Step 3: Cross multiply
   1,109.77x = 1,663.23 × 590.02
4. Step 4: Simplify right side
   1,109.77x = 981,337.02
5. Step 5: Solve for x
   x = 981,337.02/1,109.77
6. Step 6: Final answer
   x = 884.27