Finding the Fourth Proportional to 10,300.14, 14,213.81 and 5,584.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.14 : 14,213.81 = 5,584.32 : x
2. Step 2: Convert to fraction form
   10,300.14/14,213.81 = 5,584.32/x
3. Step 3: Cross multiply
   10,300.14x = 14,213.81 × 5,584.32
4. Step 4: Simplify right side
   10,300.14x = 79,374,463.46
5. Step 5: Solve for x
   x = 79,374,463.46/10,300.14
6. Step 6: Final answer
   x = 7,706.15