Finding the Fourth Proportional to 9,923.82, 13,697.01 and 5,945.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,923.82 : 13,697.01 = 5,945.10 : x
2. Step 2: Convert to fraction form
   9,923.82/13,697.01 = 5,945.10/x
3. Step 3: Cross multiply
   9,923.82x = 13,697.01 × 5,945.10
4. Step 4: Simplify right side
   9,923.82x = 81,430,094.15
5. Step 5: Solve for x
   x = 81,430,094.15/9,923.82
6. Step 6: Final answer
   x = 8,205.52