Finding the Fourth Proportional to 10,580.78, 14,601.42 and 5,800.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580.78 : 14,601.42 = 5,800.71 : x
2. Step 2: Convert to fraction form
   10,580.78/14,601.42 = 5,800.71/x
3. Step 3: Cross multiply
   10,580.78x = 14,601.42 × 5,800.71
4. Step 4: Simplify right side
   10,580.78x = 84,698,603.01
5. Step 5: Solve for x
   x = 84,698,603.01/10,580.78
6. Step 6: Final answer
   x = 8,004.95