Finding the Fourth Proportional to 10,298.96, 14,212.50 and 5,583.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.96 : 14,212.50 = 5,583.14 : x
2. Step 2: Convert to fraction form
   10,298.96/14,212.50 = 5,583.14/x
3. Step 3: Cross multiply
   10,298.96x = 14,212.50 × 5,583.14
4. Step 4: Simplify right side
   10,298.96x = 79,350,377.25
5. Step 5: Solve for x
   x = 79,350,377.25/10,298.96
6. Step 6: Final answer
   x = 7,704.70