Finding the Fourth Proportional to 11,806.30, 16,292.59 and 6,501

Step by Step Solution

1. Step 1: Write the proportion equation
   11,806.30 : 16,292.59 = 6,501 : x
2. Step 2: Convert to fraction form
   11,806.30/16,292.59 = 6,501/x
3. Step 3: Cross multiply
   11,806.30x = 16,292.59 × 6,501
4. Step 4: Simplify right side
   11,806.30x = 105,918,111.34
5. Step 5: Solve for x
   x = 105,918,111.34/11,806.30
6. Step 6: Final answer
   x = 8,971.32