Finding the Fourth Proportional to 10,402.56, 14,350.72 and 5,984

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.56 : 14,350.72 = 5,984 : x
2. Step 2: Convert to fraction form
   10,402.56/14,350.72 = 5,984/x
3. Step 3: Cross multiply
   10,402.56x = 14,350.72 × 5,984
4. Step 4: Simplify right side
   10,402.56x = 85,874,708.48
5. Step 5: Solve for x
   x = 85,874,708.48/10,402.56
6. Step 6: Final answer
   x = 8,255.15