Finding the Fourth Proportional to 6,109.89, 9,160.34 and 1,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,109.89 : 9,160.34 = 1,947.50 : x
2. Step 2: Convert to fraction form
   6,109.89/9,160.34 = 1,947.50/x
3. Step 3: Cross multiply
   6,109.89x = 9,160.34 × 1,947.50
4. Step 4: Simplify right side
   6,109.89x = 17,839,762.15
5. Step 5: Solve for x
   x = 17,839,762.15/6,109.89
6. Step 6: Final answer
   x = 2,919.82