Finding the Fourth Proportional to 2,109.10, 3,164.85 and 1,460.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.10 : 3,164.85 = 1,460.30 : x
2. Step 2: Convert to fraction form
   2,109.10/3,164.85 = 1,460.30/x
3. Step 3: Cross multiply
   2,109.10x = 3,164.85 × 1,460.30
4. Step 4: Simplify right side
   2,109.10x = 4,621,630.46
5. Step 5: Solve for x
   x = 4,621,630.46/2,109.10
6. Step 6: Final answer
   x = 2,191.28