Finding the Fourth Proportional to 10,380.64, 14,324.90 and 5,664.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.64 : 14,324.90 = 5,664.82 : x
2. Step 2: Convert to fraction form
   10,380.64/14,324.90 = 5,664.82/x
3. Step 3: Cross multiply
   10,380.64x = 14,324.90 × 5,664.82
4. Step 4: Simplify right side
   10,380.64x = 81,147,980.02
5. Step 5: Solve for x
   x = 81,147,980.02/10,380.64
6. Step 6: Final answer
   x = 7,817.24