Finding the Fourth Proportional to 10,546.84, 14,554.06 and 6,302.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.84 : 14,554.06 = 6,302.71 : x
2. Step 2: Convert to fraction form
   10,546.84/14,554.06 = 6,302.71/x
3. Step 3: Cross multiply
   10,546.84x = 14,554.06 × 6,302.71
4. Step 4: Simplify right side
   10,546.84x = 91,730,019.50
5. Step 5: Solve for x
   x = 91,730,019.50/10,546.84
6. Step 6: Final answer
   x = 8,697.39