Finding the Fourth Proportional to 10,581.77, 14,602.46 and 5,865.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,581.77 : 14,602.46 = 5,865.95 : x
2. Step 2: Convert to fraction form
   10,581.77/14,602.46 = 5,865.95/x
3. Step 3: Cross multiply
   10,581.77x = 14,602.46 × 5,865.95
4. Step 4: Simplify right side
   10,581.77x = 85,657,197.89
5. Step 5: Solve for x
   x = 85,657,197.89/10,581.77
6. Step 6: Final answer
   x = 8,094.79