Finding the Fourth Proportional to 1,409.11, 1,942.78 and 1,109.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.11 : 1,942.78 = 1,109.81 : x
2. Step 2: Convert to fraction form
   1,409.11/1,942.78 = 1,109.81/x
3. Step 3: Cross multiply
   1,409.11x = 1,942.78 × 1,109.81
4. Step 4: Simplify right side
   1,409.11x = 2,156,116.67
5. Step 5: Solve for x
   x = 2,156,116.67/1,409.11
6. Step 6: Final answer
   x = 1,530.13