Finding the Fourth Proportional to 10,380.62, 14,325.36 and 5,664.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.62 : 14,325.36 = 5,664.98 : x
2. Step 2: Convert to fraction form
   10,380.62/14,325.36 = 5,664.98/x
3. Step 3: Cross multiply
   10,380.62x = 14,325.36 × 5,664.98
4. Step 4: Simplify right side
   10,380.62x = 81,152,877.89
5. Step 5: Solve for x
   x = 81,152,877.89/10,380.62
6. Step 6: Final answer
   x = 7,817.73