Finding the Fourth Proportional to 3,109.77, 4,290.63 and 2,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,109.77 : 4,290.63 = 2,164.50 : x
2. Step 2: Convert to fraction form
   3,109.77/4,290.63 = 2,164.50/x
3. Step 3: Cross multiply
   3,109.77x = 4,290.63 × 2,164.50
4. Step 4: Simplify right side
   3,109.77x = 9,287,068.64
5. Step 5: Solve for x
   x = 9,287,068.64/3,109.77
6. Step 6: Final answer
   x = 2,986.42