Finding the Fourth Proportional to 10,600.25, 14,627.61 and 5,884.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,600.25 : 14,627.61 = 5,884.16 : x
2. Step 2: Convert to fraction form
   10,600.25/14,627.61 = 5,884.16/x
3. Step 3: Cross multiply
   10,600.25x = 14,627.61 × 5,884.16
4. Step 4: Simplify right side
   10,600.25x = 86,071,124.52
5. Step 5: Solve for x
   x = 86,071,124.52/10,600.25
6. Step 6: Final answer
   x = 8,119.73