Finding the Fourth Proportional to 1,109.54, 1,662.42 and 784.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.54 : 1,662.42 = 784.28 : x
2. Step 2: Convert to fraction form
   1,109.54/1,662.42 = 784.28/x
3. Step 3: Cross multiply
   1,109.54x = 1,662.42 × 784.28
4. Step 4: Simplify right side
   1,109.54x = 1,303,802.76
5. Step 5: Solve for x
   x = 1,303,802.76/1,109.54
6. Step 6: Final answer
   x = 1,175.08