Finding the Fourth Proportional to 10,381.06, 14,325.96 and 5,665.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.06 : 14,325.96 = 5,665.60 : x
2. Step 2: Convert to fraction form
   10,381.06/14,325.96 = 5,665.60/x
3. Step 3: Cross multiply
   10,381.06x = 14,325.96 × 5,665.60
4. Step 4: Simplify right side
   10,381.06x = 81,165,158.98
5. Step 5: Solve for x
   x = 81,165,158.98/10,381.06
6. Step 6: Final answer
   x = 7,818.58