Finding the Fourth Proportional to 10,664.65, 15,973.89 and 7,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,664.65 : 15,973.89 = 7,736.50 : x
2. Step 2: Convert to fraction form
   10,664.65/15,973.89 = 7,736.50/x
3. Step 3: Cross multiply
   10,664.65x = 15,973.89 × 7,736.50
4. Step 4: Simplify right side
   10,664.65x = 123,581,999.99
5. Step 5: Solve for x
   x = 123,581,999.99/10,664.65
6. Step 6: Final answer
   x = 11,588.00