Finding the Fourth Proportional to 10,802.69, 14,906.67 and 7,971.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.69 : 14,906.67 = 7,971.63 : x
2. Step 2: Convert to fraction form
   10,802.69/14,906.67 = 7,971.63/x
3. Step 3: Cross multiply
   10,802.69x = 14,906.67 × 7,971.63
4. Step 4: Simplify right side
   10,802.69x = 118,830,457.77
5. Step 5: Solve for x
   x = 118,830,457.77/10,802.69
6. Step 6: Final answer
   x = 11,000.09