Finding the Fourth Proportional to 10,300.16, 14,214.12 and 5,584.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300.16 : 14,214.12 = 5,584.36 : x
2. Step 2: Convert to fraction form
   10,300.16/14,214.12 = 5,584.36/x
3. Step 3: Cross multiply
   10,300.16x = 14,214.12 × 5,584.36
4. Step 4: Simplify right side
   10,300.16x = 79,376,763.16
5. Step 5: Solve for x
   x = 79,376,763.16/10,300.16
6. Step 6: Final answer
   x = 7,706.36