Finding the Fourth Proportional to 11,640, 16,061.58 and 7,164.48

Step by Step Solution

1. Step 1: Write the proportion equation
   11,640 : 16,061.58 = 7,164.48 : x
2. Step 2: Convert to fraction form
   11,640/16,061.58 = 7,164.48/x
3. Step 3: Cross multiply
   11,640x = 16,061.58 × 7,164.48
4. Step 4: Simplify right side
   11,640x = 115,072,868.68
5. Step 5: Solve for x
   x = 115,072,868.68/11,640
6. Step 6: Final answer
   x = 9,885.99