Finding the Fourth Proportional to 1,298.14, 1,943.55 and 1,196.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.14 : 1,943.55 = 1,196.08 : x
2. Step 2: Convert to fraction form
   1,298.14/1,943.55 = 1,196.08/x
3. Step 3: Cross multiply
   1,298.14x = 1,943.55 × 1,196.08
4. Step 4: Simplify right side
   1,298.14x = 2,324,641.28
5. Step 5: Solve for x
   x = 2,324,641.28/1,298.14
6. Step 6: Final answer
   x = 1,790.75