Finding the Fourth Proportional to 9,942.03, 13,719.83 and 5,465.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,942.03 : 13,719.83 = 5,465.75 : x
2. Step 2: Convert to fraction form
   9,942.03/13,719.83 = 5,465.75/x
3. Step 3: Cross multiply
   9,942.03x = 13,719.83 × 5,465.75
4. Step 4: Simplify right side
   9,942.03x = 74,989,064.89
5. Step 5: Solve for x
   x = 74,989,064.89/9,942.03
6. Step 6: Final answer
   x = 7,542.63