Finding the Fourth Proportional to 10,637.34, 14,680.89 and 5,923.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,637.34 : 14,680.89 = 5,923.14 : x
2. Step 2: Convert to fraction form
   10,637.34/14,680.89 = 5,923.14/x
3. Step 3: Cross multiply
   10,637.34x = 14,680.89 × 5,923.14
4. Step 4: Simplify right side
   10,637.34x = 86,956,966.79
5. Step 5: Solve for x
   x = 86,956,966.79/10,637.34
6. Step 6: Final answer
   x = 8,174.69