Finding the Fourth Proportional to 10,224.12, 14,106.78 and 5,746.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224.12 : 14,106.78 = 5,746.98 : x
2. Step 2: Convert to fraction form
   10,224.12/14,106.78 = 5,746.98/x
3. Step 3: Cross multiply
   10,224.12x = 14,106.78 × 5,746.98
4. Step 4: Simplify right side
   10,224.12x = 81,071,382.52
5. Step 5: Solve for x
   x = 81,071,382.52/10,224.12
6. Step 6: Final answer
   x = 7,929.42