Finding the Fourth Proportional to 10,581.42, 14,602.20 and 5,865.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,581.42 : 14,602.20 = 5,865.60 : x
2. Step 2: Convert to fraction form
   10,581.42/14,602.20 = 5,865.60/x
3. Step 3: Cross multiply
   10,581.42x = 14,602.20 × 5,865.60
4. Step 4: Simplify right side
   10,581.42x = 85,650,664.32
5. Step 5: Solve for x
   x = 85,650,664.32/10,581.42
6. Step 6: Final answer
   x = 8,094.44