Finding the Fourth Proportional to 2,105.47, 2,905.61 and 1,161.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.47 : 2,905.61 = 1,161.32 : x
2. Step 2: Convert to fraction form
   2,105.47/2,905.61 = 1,161.32/x
3. Step 3: Cross multiply
   2,105.47x = 2,905.61 × 1,161.32
4. Step 4: Simplify right side
   2,105.47x = 3,374,337.20
5. Step 5: Solve for x
   x = 3,374,337.20/2,105.47
6. Step 6: Final answer
   x = 1,602.66