Finding the Fourth Proportional to 12,802, 19,210.56 and 5,405.98

Step by Step Solution

1. Step 1: Write the proportion equation
   12,802 : 19,210.56 = 5,405.98 : x
2. Step 2: Convert to fraction form
   12,802/19,210.56 = 5,405.98/x
3. Step 3: Cross multiply
   12,802x = 19,210.56 × 5,405.98
4. Step 4: Simplify right side
   12,802x = 103,851,903.15
5. Step 5: Solve for x
   x = 103,851,903.15/12,802
6. Step 6: Final answer
   x = 8,112.16