Finding the Fourth Proportional to 10,599.50, 14,627.34 and 5,883.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,599.50 : 14,627.34 = 5,883.78 : x
2. Step 2: Convert to fraction form
   10,599.50/14,627.34 = 5,883.78/x
3. Step 3: Cross multiply
   10,599.50x = 14,627.34 × 5,883.78
4. Step 4: Simplify right side
   10,599.50x = 86,064,050.55
5. Step 5: Solve for x
   x = 86,064,050.55/10,599.50
6. Step 6: Final answer
   x = 8,119.63