Finding the Fourth Proportional to 2,807.50, 4,208.37 and 1,165

Step by Step Solution

1. Step 1: Write the proportion equation
   2,807.50 : 4,208.37 = 1,165 : x
2. Step 2: Convert to fraction form
   2,807.50/4,208.37 = 1,165/x
3. Step 3: Cross multiply
   2,807.50x = 4,208.37 × 1,165
4. Step 4: Simplify right side
   2,807.50x = 4,902,751.05
5. Step 5: Solve for x
   x = 4,902,751.05/2,807.50
6. Step 6: Final answer
   x = 1,746.30