Finding the Fourth Proportional to 9,822.02, 13,553.96 and 5,345.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.02 : 13,553.96 = 5,345.75 : x
2. Step 2: Convert to fraction form
   9,822.02/13,553.96 = 5,345.75/x
3. Step 3: Cross multiply
   9,822.02x = 13,553.96 × 5,345.75
4. Step 4: Simplify right side
   9,822.02x = 72,456,088.83
5. Step 5: Solve for x
   x = 72,456,088.83/9,822.02
6. Step 6: Final answer
   x = 7,376.91