Finding the Fourth Proportional to 10,546.53, 14,553.63 and 5,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.53 : 14,553.63 = 5,830.50 : x
2. Step 2: Convert to fraction form
   10,546.53/14,553.63 = 5,830.50/x
3. Step 3: Cross multiply
   10,546.53x = 14,553.63 × 5,830.50
4. Step 4: Simplify right side
   10,546.53x = 84,854,939.72
5. Step 5: Solve for x
   x = 84,854,939.72/10,546.53
6. Step 6: Final answer
   x = 8,045.77