Finding the Fourth Proportional to 10,465.07, 14,441.56 and 5,684.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.07 : 14,441.56 = 5,684.88 : x
2. Step 2: Convert to fraction form
   10,465.07/14,441.56 = 5,684.88/x
3. Step 3: Cross multiply
   10,465.07x = 14,441.56 × 5,684.88
4. Step 4: Simplify right side
   10,465.07x = 82,098,575.56
5. Step 5: Solve for x
   x = 82,098,575.56/10,465.07
6. Step 6: Final answer
   x = 7,845.01