Finding the Fourth Proportional to 10,726.69, 14,802.86 and 5,946.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,726.69 : 14,802.86 = 5,946.71 : x
2. Step 2: Convert to fraction form
   10,726.69/14,802.86 = 5,946.71/x
3. Step 3: Cross multiply
   10,726.69x = 14,802.86 × 5,946.71
4. Step 4: Simplify right side
   10,726.69x = 88,028,285.86
5. Step 5: Solve for x
   x = 88,028,285.86/10,726.69
6. Step 6: Final answer
   x = 8,206.47