Finding the Fourth Proportional to 2,105.50, 2,905.53 and 1,161.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.50 : 2,905.53 = 1,161.30 : x
2. Step 2: Convert to fraction form
   2,105.50/2,905.53 = 1,161.30/x
3. Step 3: Cross multiply
   2,105.50x = 2,905.53 × 1,161.30
4. Step 4: Simplify right side
   2,105.50x = 3,374,191.99
5. Step 5: Solve for x
   x = 3,374,191.99/2,105.50
6. Step 6: Final answer
   x = 1,602.56