Finding the Fourth Proportional to 9,822.50, 13,555.05 and 5,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.50 : 13,555.05 = 5,406.50 : x
2. Step 2: Convert to fraction form
   9,822.50/13,555.05 = 5,406.50/x
3. Step 3: Cross multiply
   9,822.50x = 13,555.05 × 5,406.50
4. Step 4: Simplify right side
   9,822.50x = 73,285,377.83
5. Step 5: Solve for x
   x = 73,285,377.83/9,822.50
6. Step 6: Final answer
   x = 7,460.97