Finding the Fourth Proportional to 10,414.65, 14,372.57 and 5,698.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.65 : 14,372.57 = 5,698.94 : x
2. Step 2: Convert to fraction form
   10,414.65/14,372.57 = 5,698.94/x
3. Step 3: Cross multiply
   10,414.65x = 14,372.57 × 5,698.94
4. Step 4: Simplify right side
   10,414.65x = 81,908,313.72
5. Step 5: Solve for x
   x = 81,908,313.72/10,414.65
6. Step 6: Final answer
   x = 7,864.72