Finding the Fourth Proportional to 12,538.19, 18,807.59 and 5,965.04

Step by Step Solution

1. Step 1: Write the proportion equation
   12,538.19 : 18,807.59 = 5,965.04 : x
2. Step 2: Convert to fraction form
   12,538.19/18,807.59 = 5,965.04/x
3. Step 3: Cross multiply
   12,538.19x = 18,807.59 × 5,965.04
4. Step 4: Simplify right side
   12,538.19x = 112,188,088.59
5. Step 5: Solve for x
   x = 112,188,088.59/12,538.19
6. Step 6: Final answer
   x = 8,947.71