Finding the Fourth Proportional to 10,465.98, 14,443.00 and 5,685.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.98 : 14,443.00 = 5,685.89 : x
2. Step 2: Convert to fraction form
   10,465.98/14,443.00 = 5,685.89/x
3. Step 3: Cross multiply
   10,465.98x = 14,443.00 × 5,685.89
4. Step 4: Simplify right side
   10,465.98x = 82,121,277.00
5. Step 5: Solve for x
   x = 82,121,277.00/10,465.98
6. Step 6: Final answer
   x = 7,846.49