Finding the Fourth Proportional to 10,914.50, 15,062.01 and 5,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,914.50 : 15,062.01 = 5,946.50 : x
2. Step 2: Convert to fraction form
   10,914.50/15,062.01 = 5,946.50/x
3. Step 3: Cross multiply
   10,914.50x = 15,062.01 × 5,946.50
4. Step 4: Simplify right side
   10,914.50x = 89,566,242.47
5. Step 5: Solve for x
   x = 89,566,242.47/10,914.50
6. Step 6: Final answer
   x = 8,206.17