Finding the Fourth Proportional to 10,599.21, 14,627.10 and 5,819.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,599.21 : 14,627.10 = 5,819.60 : x
2. Step 2: Convert to fraction form
   10,599.21/14,627.10 = 5,819.60/x
3. Step 3: Cross multiply
   10,599.21x = 14,627.10 × 5,819.60
4. Step 4: Simplify right side
   10,599.21x = 85,123,798.02
5. Step 5: Solve for x
   x = 85,123,798.02/10,599.21
6. Step 6: Final answer
   x = 8,031.15