Finding the Fourth Proportional to 11,665.35, 17,491.59 and 7,971.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,665.35 : 17,491.59 = 7,971.75 : x
2. Step 2: Convert to fraction form
   11,665.35/17,491.59 = 7,971.75/x
3. Step 3: Cross multiply
   11,665.35x = 17,491.59 × 7,971.75
4. Step 4: Simplify right side
   11,665.35x = 139,438,582.58
5. Step 5: Solve for x
   x = 139,438,582.58/11,665.35
6. Step 6: Final answer
   x = 11,953.23