Finding the Fourth Proportional to 1,172.82, 1,757.59 and 911.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.82 : 1,757.59 = 911.63 : x
2. Step 2: Convert to fraction form
   1,172.82/1,757.59 = 911.63/x
3. Step 3: Cross multiply
   1,172.82x = 1,757.59 × 911.63
4. Step 4: Simplify right side
   1,172.82x = 1,602,258.43
5. Step 5: Solve for x
   x = 1,602,258.43/1,172.82
6. Step 6: Final answer
   x = 1,366.16