Finding the Fourth Proportional to 10,580.82, 14,601.99 and 5,864.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580.82 : 14,601.99 = 5,864.77 : x
2. Step 2: Convert to fraction form
   10,580.82/14,601.99 = 5,864.77/x
3. Step 3: Cross multiply
   10,580.82x = 14,601.99 × 5,864.77
4. Step 4: Simplify right side
   10,580.82x = 85,637,312.89
5. Step 5: Solve for x
   x = 85,637,312.89/10,580.82
6. Step 6: Final answer
   x = 8,093.64