Finding the Fourth Proportional to 9,002.21, 12,414.93 and 5,645.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002.21 : 12,414.93 = 5,645.36 : x
2. Step 2: Convert to fraction form
   9,002.21/12,414.93 = 5,645.36/x
3. Step 3: Cross multiply
   9,002.21x = 12,414.93 × 5,645.36
4. Step 4: Simplify right side
   9,002.21x = 70,086,687.15
5. Step 5: Solve for x
   x = 70,086,687.15/9,002.21
6. Step 6: Final answer
   x = 7,785.50