Finding the Fourth Proportional to 10,945.83, 15,106.91 and 6,166.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,945.83 : 15,106.91 = 6,166.23 : x
2. Step 2: Convert to fraction form
   10,945.83/15,106.91 = 6,166.23/x
3. Step 3: Cross multiply
   10,945.83x = 15,106.91 × 6,166.23
4. Step 4: Simplify right side
   10,945.83x = 93,152,594.17
5. Step 5: Solve for x
   x = 93,152,594.17/10,945.83
6. Step 6: Final answer
   x = 8,510.32