Finding the Fourth Proportional to 1,298.53, 1,945.27 and 1,153.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.53 : 1,945.27 = 1,153.09 : x
2. Step 2: Convert to fraction form
   1,298.53/1,945.27 = 1,153.09/x
3. Step 3: Cross multiply
   1,298.53x = 1,945.27 × 1,153.09
4. Step 4: Simplify right side
   1,298.53x = 2,243,071.38
5. Step 5: Solve for x
   x = 2,243,071.38/1,298.53
6. Step 6: Final answer
   x = 1,727.39