Finding the Fourth Proportional to 10,298.82, 14,212.50 and 5,583.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.82 : 14,212.50 = 5,583.18 : x
2. Step 2: Convert to fraction form
   10,298.82/14,212.50 = 5,583.18/x
3. Step 3: Cross multiply
   10,298.82x = 14,212.50 × 5,583.18
4. Step 4: Simplify right side
   10,298.82x = 79,350,945.75
5. Step 5: Solve for x
   x = 79,350,945.75/10,298.82
6. Step 6: Final answer
   x = 7,704.86