Finding the Fourth Proportional to 1,409.05, 1,942.24 and 1,109.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.05 : 1,942.24 = 1,109.82 : x
2. Step 2: Convert to fraction form
   1,409.05/1,942.24 = 1,109.82/x
3. Step 3: Cross multiply
   1,409.05x = 1,942.24 × 1,109.82
4. Step 4: Simplify right side
   1,409.05x = 2,155,529.34
5. Step 5: Solve for x
   x = 2,155,529.34/1,409.05
6. Step 6: Final answer
   x = 1,529.78