Finding the Fourth Proportional to 1,193.69, 1,643.55 and 1,084.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,193.69 : 1,643.55 = 1,084.34 : x
2. Step 2: Convert to fraction form
   1,193.69/1,643.55 = 1,084.34/x
3. Step 3: Cross multiply
   1,193.69x = 1,643.55 × 1,084.34
4. Step 4: Simplify right side
   1,193.69x = 1,782,167.01
5. Step 5: Solve for x
   x = 1,782,167.01/1,193.69
6. Step 6: Final answer
   x = 1,492.99