Finding the Fourth Proportional to 10,546.59, 14,553.72 and 5,830.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.59 : 14,553.72 = 5,830.56 : x
2. Step 2: Convert to fraction form
   10,546.59/14,553.72 = 5,830.56/x
3. Step 3: Cross multiply
   10,546.59x = 14,553.72 × 5,830.56
4. Step 4: Simplify right side
   10,546.59x = 84,856,337.68
5. Step 5: Solve for x
   x = 84,856,337.68/10,546.59
6. Step 6: Final answer
   x = 8,045.86