Finding the Fourth Proportional to 10,581, 14,601.78 and 5,865.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,581 : 14,601.78 = 5,865.60 : x
2. Step 2: Convert to fraction form
   10,581/14,601.78 = 5,865.60/x
3. Step 3: Cross multiply
   10,581x = 14,601.78 × 5,865.60
4. Step 4: Simplify right side
   10,581x = 85,648,200.77
5. Step 5: Solve for x
   x = 85,648,200.77/10,581
6. Step 6: Final answer
   x = 8,094.53