Finding the Fourth Proportional to 10,546.68, 14,554.17 and 5,830.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.68 : 14,554.17 = 5,830.86 : x
2. Step 2: Convert to fraction form
   10,546.68/14,554.17 = 5,830.86/x
3. Step 3: Cross multiply
   10,546.68x = 14,554.17 × 5,830.86
4. Step 4: Simplify right side
   10,546.68x = 84,863,327.69
5. Step 5: Solve for x
   x = 84,863,327.69/10,546.68
6. Step 6: Final answer
   x = 8,046.45