Finding the Fourth Proportional to 10,381.01, 14,325.84 and 5,665.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.01 : 14,325.84 = 5,665.30 : x
2. Step 2: Convert to fraction form
   10,381.01/14,325.84 = 5,665.30/x
3. Step 3: Cross multiply
   10,381.01x = 14,325.84 × 5,665.30
4. Step 4: Simplify right side
   10,381.01x = 81,160,145.54
5. Step 5: Solve for x
   x = 81,160,145.54/10,381.01
6. Step 6: Final answer
   x = 7,818.14