Finding the Fourth Proportional to 10,380.84, 14,325.78 and 5,665.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.84 : 14,325.78 = 5,665.08 : x
2. Step 2: Convert to fraction form
   10,380.84/14,325.78 = 5,665.08/x
3. Step 3: Cross multiply
   10,380.84x = 14,325.78 × 5,665.08
4. Step 4: Simplify right side
   10,380.84x = 81,156,689.76
5. Step 5: Solve for x
   x = 81,156,689.76/10,380.84
6. Step 6: Final answer
   x = 7,817.93