Finding the Fourth Proportional to 10,580.76, 14,600.70 and 5,865.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580.76 : 14,600.70 = 5,865.30 : x
2. Step 2: Convert to fraction form
   10,580.76/14,600.70 = 5,865.30/x
3. Step 3: Cross multiply
   10,580.76x = 14,600.70 × 5,865.30
4. Step 4: Simplify right side
   10,580.76x = 85,637,485.71
5. Step 5: Solve for x
   x = 85,637,485.71/10,580.76
6. Step 6: Final answer
   x = 8,093.70