Finding the Fourth Proportional to 10,298.75, 14,212.31 and 5,583.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.75 : 14,212.31 = 5,583.05 : x
2. Step 2: Convert to fraction form
   10,298.75/14,212.31 = 5,583.05/x
3. Step 3: Cross multiply
   10,298.75x = 14,212.31 × 5,583.05
4. Step 4: Simplify right side
   10,298.75x = 79,348,037.35
5. Step 5: Solve for x
   x = 79,348,037.35/10,298.75
6. Step 6: Final answer
   x = 7,704.63