Finding the Fourth Proportional to 1,109.85, 1,662.93 and 784.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.85 : 1,662.93 = 784.55 : x
2. Step 2: Convert to fraction form
   1,109.85/1,662.93 = 784.55/x
3. Step 3: Cross multiply
   1,109.85x = 1,662.93 × 784.55
4. Step 4: Simplify right side
   1,109.85x = 1,304,651.73
5. Step 5: Solve for x
   x = 1,304,651.73/1,109.85
6. Step 6: Final answer
   x = 1,175.52