Finding the Fourth Proportional to 82,320, 113,606.46 and 46,509.09

Step by Step Solution

1. Step 1: Write the proportion equation
   82,320 : 113,606.46 = 46,509.09 : x
2. Step 2: Convert to fraction form
   82,320/113,606.46 = 46,509.09/x
3. Step 3: Cross multiply
   82,320x = 113,606.46 × 46,509.09
4. Step 4: Simplify right side
   82,320x = 5,283,733,072.72
5. Step 5: Solve for x
   x = 5,283,733,072.72/82,320
6. Step 6: Final answer
   x = 64,185.29