Finding the Fourth Proportional to 10,499.81, 14,489.56 and 5,784.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.81 : 14,489.56 = 5,784.53 : x
2. Step 2: Convert to fraction form
   10,499.81/14,489.56 = 5,784.53/x
3. Step 3: Cross multiply
   10,499.81x = 14,489.56 × 5,784.53
4. Step 4: Simplify right side
   10,499.81x = 83,815,294.51
5. Step 5: Solve for x
   x = 83,815,294.51/10,499.81
6. Step 6: Final answer
   x = 7,982.55