Finding the Fourth Proportional to 1,384.30, 2,078.40 and 1,109.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.30 : 2,078.40 = 1,109.53 : x
2. Step 2: Convert to fraction form
   1,384.30/2,078.40 = 1,109.53/x
3. Step 3: Cross multiply
   1,384.30x = 2,078.40 × 1,109.53
4. Step 4: Simplify right side
   1,384.30x = 2,306,047.15
5. Step 5: Solve for x
   x = 2,306,047.15/1,384.30
6. Step 6: Final answer
   x = 1,665.86