Finding the Fourth Proportional to 10,421, 14,380.96 and 5,705.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421 : 14,380.96 = 5,705.32 : x
2. Step 2: Convert to fraction form
   10,421/14,380.96 = 5,705.32/x
3. Step 3: Cross multiply
   10,421x = 14,380.96 × 5,705.32
4. Step 4: Simplify right side
   10,421x = 82,047,978.71
5. Step 5: Solve for x
   x = 82,047,978.71/10,421
6. Step 6: Final answer
   x = 7,873.33