Finding the Fourth Proportional to 2,609.50, 3,914.46 and 1,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.50 : 3,914.46 = 1,070.50 : x
2. Step 2: Convert to fraction form
   2,609.50/3,914.46 = 1,070.50/x
3. Step 3: Cross multiply
   2,609.50x = 3,914.46 × 1,070.50
4. Step 4: Simplify right side
   2,609.50x = 4,190,429.43
5. Step 5: Solve for x
   x = 4,190,429.43/2,609.50
6. Step 6: Final answer
   x = 1,605.84