Finding the Fourth Proportional to 10,299.52, 14,213.34 and 5,583.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,299.52 : 14,213.34 = 5,583.82 : x
2. Step 2: Convert to fraction form
   10,299.52/14,213.34 = 5,583.82/x
3. Step 3: Cross multiply
   10,299.52x = 14,213.34 × 5,583.82
4. Step 4: Simplify right side
   10,299.52x = 79,364,732.16
5. Step 5: Solve for x
   x = 79,364,732.16/10,299.52
6. Step 6: Final answer
   x = 7,705.67