Finding the Fourth Proportional to 13,619.77, 18,796.64 and 9,152.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,619.77 : 18,796.64 = 9,152.82 : x
2. Step 2: Convert to fraction form
   13,619.77/18,796.64 = 9,152.82/x
3. Step 3: Cross multiply
   13,619.77x = 18,796.64 × 9,152.82
4. Step 4: Simplify right side
   13,619.77x = 172,042,262.52
5. Step 5: Solve for x
   x = 172,042,262.52/13,619.77
6. Step 6: Final answer
   x = 12,631.80