Finding the Fourth Proportional to 10,421.63, 14,381.85 and 5,705.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.63 : 14,381.85 = 5,705.91 : x
2. Step 2: Convert to fraction form
   10,421.63/14,381.85 = 5,705.91/x
3. Step 3: Cross multiply
   10,421.63x = 14,381.85 × 5,705.91
4. Step 4: Simplify right side
   10,421.63x = 82,061,541.73
5. Step 5: Solve for x
   x = 82,061,541.73/10,421.63
6. Step 6: Final answer
   x = 7,874.16