Finding the Fourth Proportional to 9,419.86, 13,002.21 and 5,645.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,419.86 : 13,002.21 = 5,645.46 : x
2. Step 2: Convert to fraction form
   9,419.86/13,002.21 = 5,645.46/x
3. Step 3: Cross multiply
   9,419.86x = 13,002.21 × 5,645.46
4. Step 4: Simplify right side
   9,419.86x = 73,403,456.47
5. Step 5: Solve for x
   x = 73,403,456.47/9,419.86
6. Step 6: Final answer
   x = 7,792.42