Finding the Fourth Proportional to 10,422.04, 14,381.82 and 5,705.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.04 : 14,381.82 = 5,705.38 : x
2. Step 2: Convert to fraction form
   10,422.04/14,381.82 = 5,705.38/x
3. Step 3: Cross multiply
   10,422.04x = 14,381.82 × 5,705.38
4. Step 4: Simplify right side
   10,422.04x = 82,053,748.19
5. Step 5: Solve for x
   x = 82,053,748.19/10,422.04
6. Step 6: Final answer
   x = 7,873.10