Finding the Fourth Proportional to 2,097, 2,893.86 and 1,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097 : 2,893.86 = 1,165.50 : x
2. Step 2: Convert to fraction form
   2,097/2,893.86 = 1,165.50/x
3. Step 3: Cross multiply
   2,097x = 2,893.86 × 1,165.50
4. Step 4: Simplify right side
   2,097x = 3,372,793.83
5. Step 5: Solve for x
   x = 3,372,793.83/2,097
6. Step 6: Final answer
   x = 1,608.39