Finding the Fourth Proportional to 12,846.47, 17,727.80 and 7,810.83

Step by Step Solution

1. Step 1: Write the proportion equation
   12,846.47 : 17,727.80 = 7,810.83 : x
2. Step 2: Convert to fraction form
   12,846.47/17,727.80 = 7,810.83/x
3. Step 3: Cross multiply
   12,846.47x = 17,727.80 × 7,810.83
4. Step 4: Simplify right side
   12,846.47x = 138,468,793.02
5. Step 5: Solve for x
   x = 138,468,793.02/12,846.47
6. Step 6: Final answer
   x = 10,778.75