Finding the Fourth Proportional to 10,380.63, 14,325.35 and 5,664.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.63 : 14,325.35 = 5,664.81 : x
2. Step 2: Convert to fraction form
   10,380.63/14,325.35 = 5,664.81/x
3. Step 3: Cross multiply
   10,380.63x = 14,325.35 × 5,664.81
4. Step 4: Simplify right side
   10,380.63x = 81,150,357.61
5. Step 5: Solve for x
   x = 81,150,357.61/10,380.63
6. Step 6: Final answer
   x = 7,817.48