Finding the Fourth Proportional to 10,133.64, 13,984.25 and 5,884.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,133.64 : 13,984.25 = 5,884.52 : x
2. Step 2: Convert to fraction form
   10,133.64/13,984.25 = 5,884.52/x
3. Step 3: Cross multiply
   10,133.64x = 13,984.25 × 5,884.52
4. Step 4: Simplify right side
   10,133.64x = 82,290,499.47
5. Step 5: Solve for x
   x = 82,290,499.47/10,133.64
6. Step 6: Final answer
   x = 8,120.53