Finding the Fourth Proportional to 1,200.29, 1,791.59 and 1,114.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.29 : 1,791.59 = 1,114.70 : x
2. Step 2: Convert to fraction form
   1,200.29/1,791.59 = 1,114.70/x
3. Step 3: Cross multiply
   1,200.29x = 1,791.59 × 1,114.70
4. Step 4: Simplify right side
   1,200.29x = 1,997,070.84
5. Step 5: Solve for x
   x = 1,997,070.84/1,200.29
6. Step 6: Final answer
   x = 1,663.83