Finding the Fourth Proportional to 9,526.40, 13,146.65 and 5,546.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,526.40 : 13,146.65 = 5,546.06 : x
2. Step 2: Convert to fraction form
   9,526.40/13,146.65 = 5,546.06/x
3. Step 3: Cross multiply
   9,526.40x = 13,146.65 × 5,546.06
4. Step 4: Simplify right side
   9,526.40x = 72,912,156.43
5. Step 5: Solve for x
   x = 72,912,156.43/9,526.40
6. Step 6: Final answer
   x = 7,653.69