Finding the Fourth Proportional to 9,001.62, 12,414.16 and 5,644.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,001.62 : 12,414.16 = 5,644.80 : x
2. Step 2: Convert to fraction form
   9,001.62/12,414.16 = 5,644.80/x
3. Step 3: Cross multiply
   9,001.62x = 12,414.16 × 5,644.80
4. Step 4: Simplify right side
   9,001.62x = 70,075,450.37
5. Step 5: Solve for x
   x = 70,075,450.37/9,001.62
6. Step 6: Final answer
   x = 7,784.76