Finding the Fourth Proportional to 10,425, 14,386.50 and 5,709.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,425 : 14,386.50 = 5,709.32 : x
2. Step 2: Convert to fraction form
   10,425/14,386.50 = 5,709.32/x
3. Step 3: Cross multiply
   10,425x = 14,386.50 × 5,709.32
4. Step 4: Simplify right side
   10,425x = 82,137,060.25
5. Step 5: Solve for x
   x = 82,137,060.25/10,425
6. Step 6: Final answer
   x = 7,878.85