Finding the Fourth Proportional to 10,599.60, 14,627.20 and 5,883.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,599.60 : 14,627.20 = 5,883.78 : x
2. Step 2: Convert to fraction form
   10,599.60/14,627.20 = 5,883.78/x
3. Step 3: Cross multiply
   10,599.60x = 14,627.20 × 5,883.78
4. Step 4: Simplify right side
   10,599.60x = 86,063,226.82
5. Step 5: Solve for x
   x = 86,063,226.82/10,599.60
6. Step 6: Final answer
   x = 8,119.48