Finding the Fourth Proportional to 10,009.60, 13,814.62 and 5,760.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,009.60 : 13,814.62 = 5,760.57 : x
2. Step 2: Convert to fraction form
   10,009.60/13,814.62 = 5,760.57/x
3. Step 3: Cross multiply
   10,009.60x = 13,814.62 × 5,760.57
4. Step 4: Simplify right side
   10,009.60x = 79,580,056.73
5. Step 5: Solve for x
   x = 79,580,056.73/10,009.60
6. Step 6: Final answer
   x = 7,950.38