Finding the Fourth Proportional to 10,581.46, 14,602.41 and 5,865.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,581.46 : 14,602.41 = 5,865.70 : x
2. Step 2: Convert to fraction form
   10,581.46/14,602.41 = 5,865.70/x
3. Step 3: Cross multiply
   10,581.46x = 14,602.41 × 5,865.70
4. Step 4: Simplify right side
   10,581.46x = 85,653,356.34
5. Step 5: Solve for x
   x = 85,653,356.34/10,581.46
6. Step 6: Final answer
   x = 8,094.66