Finding the Fourth Proportional to 1,109.35, 1,662.18 and 784.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.35 : 1,662.18 = 784.05 : x
2. Step 2: Convert to fraction form
   1,109.35/1,662.18 = 784.05/x
3. Step 3: Cross multiply
   1,109.35x = 1,662.18 × 784.05
4. Step 4: Simplify right side
   1,109.35x = 1,303,232.23
5. Step 5: Solve for x
   x = 1,303,232.23/1,109.35
6. Step 6: Final answer
   x = 1,174.77