Finding the Fourth Proportional to 9,381.84, 12,944.76 and 5,606.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,381.84 : 12,944.76 = 5,606.23 : x
2. Step 2: Convert to fraction form
   9,381.84/12,944.76 = 5,606.23/x
3. Step 3: Cross multiply
   9,381.84x = 12,944.76 × 5,606.23
4. Step 4: Simplify right side
   9,381.84x = 72,571,304.28
5. Step 5: Solve for x
   x = 72,571,304.28/9,381.84
6. Step 6: Final answer
   x = 7,735.29