Finding the Fourth Proportional to 9,522.94, 13,141.65 and 5,546.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,522.94 : 13,141.65 = 5,546.74 : x
2. Step 2: Convert to fraction form
   9,522.94/13,141.65 = 5,546.74/x
3. Step 3: Cross multiply
   9,522.94x = 13,141.65 × 5,546.74
4. Step 4: Simplify right side
   9,522.94x = 72,893,315.72
5. Step 5: Solve for x
   x = 72,893,315.72/9,522.94
6. Step 6: Final answer
   x = 7,654.50