Finding the Fourth Proportional to 10,546.02, 14,553.27 and 5,830.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546.02 : 14,553.27 = 5,830.29 : x
2. Step 2: Convert to fraction form
   10,546.02/14,553.27 = 5,830.29/x
3. Step 3: Cross multiply
   10,546.02x = 14,553.27 × 5,830.29
4. Step 4: Simplify right side
   10,546.02x = 84,849,784.55
5. Step 5: Solve for x
   x = 84,849,784.55/10,546.02
6. Step 6: Final answer
   x = 8,045.67