Finding the Fourth Proportional to 10,421.02, 14,381.03 and 5,705.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.02 : 14,381.03 = 5,705.30 : x
2. Step 2: Convert to fraction form
   10,421.02/14,381.03 = 5,705.30/x
3. Step 3: Cross multiply
   10,421.02x = 14,381.03 × 5,705.30
4. Step 4: Simplify right side
   10,421.02x = 82,048,090.46
5. Step 5: Solve for x
   x = 82,048,090.46/10,421.02
6. Step 6: Final answer
   x = 7,873.33