Finding the Fourth Proportional to 10,959.78, 16,434.45 and 3,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,959.78 : 16,434.45 = 3,166.50 : x
2. Step 2: Convert to fraction form
   10,959.78/16,434.45 = 3,166.50/x
3. Step 3: Cross multiply
   10,959.78x = 16,434.45 × 3,166.50
4. Step 4: Simplify right side
   10,959.78x = 52,039,685.93
5. Step 5: Solve for x
   x = 52,039,685.93/10,959.78
6. Step 6: Final answer
   x = 4,748.24