Finding the Fourth Proportional to 1,942.82, 2,914.17 and 1,157.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,942.82 : 2,914.17 = 1,157.57 : x
2. Step 2: Convert to fraction form
   1,942.82/2,914.17 = 1,157.57/x
3. Step 3: Cross multiply
   1,942.82x = 2,914.17 × 1,157.57
4. Step 4: Simplify right side
   1,942.82x = 3,373,355.77
5. Step 5: Solve for x
   x = 3,373,355.77/1,942.82
6. Step 6: Final answer
   x = 1,736.32