Finding the Fourth Proportional to 2,109.85, 3,161.80 and 998.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.85 : 3,161.80 = 998.08 : x
2. Step 2: Convert to fraction form
   2,109.85/3,161.80 = 998.08/x
3. Step 3: Cross multiply
   2,109.85x = 3,161.80 × 998.08
4. Step 4: Simplify right side
   2,109.85x = 3,155,729.34
5. Step 5: Solve for x
   x = 3,155,729.34/2,109.85
6. Step 6: Final answer
   x = 1,495.71