Finding the Fourth Proportional to 9,523.84, 13,143.71 and 5,546.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,523.84 : 13,143.71 = 5,546.20 : x
2. Step 2: Convert to fraction form
   9,523.84/13,143.71 = 5,546.20/x
3. Step 3: Cross multiply
   9,523.84x = 13,143.71 × 5,546.20
4. Step 4: Simplify right side
   9,523.84x = 72,897,604.61
5. Step 5: Solve for x
   x = 72,897,604.61/9,523.84
6. Step 6: Final answer
   x = 7,654.23