Finding the Fourth Proportional to 10,425.81, 14,387.63 and 5,645.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,425.81 : 14,387.63 = 5,645.76 : x
2. Step 2: Convert to fraction form
   10,425.81/14,387.63 = 5,645.76/x
3. Step 3: Cross multiply
   10,425.81x = 14,387.63 × 5,645.76
4. Step 4: Simplify right side
   10,425.81x = 81,229,105.95
5. Step 5: Solve for x
   x = 81,229,105.95/10,425.81
6. Step 6: Final answer
   x = 7,791.16