Finding the Fourth Proportional to 10,600.32, 14,628.69 and 5,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,600.32 : 14,628.69 = 5,884.50 : x
2. Step 2: Convert to fraction form
   10,600.32/14,628.69 = 5,884.50/x
3. Step 3: Cross multiply
   10,600.32x = 14,628.69 × 5,884.50
4. Step 4: Simplify right side
   10,600.32x = 86,082,526.31
5. Step 5: Solve for x
   x = 86,082,526.31/10,600.32
6. Step 6: Final answer
   x = 8,120.75