Finding the Fourth Proportional to 9,822.04, 13,553.97 and 5,345.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.04 : 13,553.97 = 5,345.78 : x
2. Step 2: Convert to fraction form
   9,822.04/13,553.97 = 5,345.78/x
3. Step 3: Cross multiply
   9,822.04x = 13,553.97 × 5,345.78
4. Step 4: Simplify right side
   9,822.04x = 72,456,447.25
5. Step 5: Solve for x
   x = 72,456,447.25/9,822.04
6. Step 6: Final answer
   x = 7,376.93