Finding the Fourth Proportional to 2,108.52, 2,909.72 and 1,164.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,108.52 : 2,909.72 = 1,164.40 : x
2. Step 2: Convert to fraction form
   2,108.52/2,909.72 = 1,164.40/x
3. Step 3: Cross multiply
   2,108.52x = 2,909.72 × 1,164.40
4. Step 4: Simplify right side
   2,108.52x = 3,388,077.97
5. Step 5: Solve for x
   x = 3,388,077.97/2,108.52
6. Step 6: Final answer
   x = 1,606.85