Finding the Fourth Proportional to 12,802.39, 19,206.18 and 5,406.82

Step by Step Solution

1. Step 1: Write the proportion equation
   12,802.39 : 19,206.18 = 5,406.82 : x
2. Step 2: Convert to fraction form
   12,802.39/19,206.18 = 5,406.82/x
3. Step 3: Cross multiply
   12,802.39x = 19,206.18 × 5,406.82
4. Step 4: Simplify right side
   12,802.39x = 103,844,310.13
5. Step 5: Solve for x
   x = 103,844,310.13/12,802.39
6. Step 6: Final answer
   x = 8,111.32