Finding the Fourth Proportional to 10,499.63, 14,489.48 and 5,784.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.63 : 14,489.48 = 5,784.21 : x
2. Step 2: Convert to fraction form
   10,499.63/14,489.48 = 5,784.21/x
3. Step 3: Cross multiply
   10,499.63x = 14,489.48 × 5,784.21
4. Step 4: Simplify right side
   10,499.63x = 83,810,209.57
5. Step 5: Solve for x
   x = 83,810,209.57/10,499.63
6. Step 6: Final answer
   x = 7,982.21