Finding the Fourth Proportional to 10,380.84, 14,325.60 and 5,665.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.84 : 14,325.60 = 5,665.23 : x
2. Step 2: Convert to fraction form
   10,380.84/14,325.60 = 5,665.23/x
3. Step 3: Cross multiply
   10,380.84x = 14,325.60 × 5,665.23
4. Step 4: Simplify right side
   10,380.84x = 81,157,818.89
5. Step 5: Solve for x
   x = 81,157,818.89/10,380.84
6. Step 6: Final answer
   x = 7,818.04