Finding the Fourth Proportional to 10,414.53, 14,372.05 and 5,698.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.53 : 14,372.05 = 5,698.81 : x
2. Step 2: Convert to fraction form
   10,414.53/14,372.05 = 5,698.81/x
3. Step 3: Cross multiply
   10,414.53x = 14,372.05 × 5,698.81
4. Step 4: Simplify right side
   10,414.53x = 81,903,639.56
5. Step 5: Solve for x
   x = 81,903,639.56/10,414.53
6. Step 6: Final answer
   x = 7,864.36