Finding the Fourth Proportional to 10,499.47, 14,489.26 and 5,783.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.47 : 14,489.26 = 5,783.75 : x
2. Step 2: Convert to fraction form
   10,499.47/14,489.26 = 5,783.75/x
3. Step 3: Cross multiply
   10,499.47x = 14,489.26 × 5,783.75
4. Step 4: Simplify right side
   10,499.47x = 83,802,156.16
5. Step 5: Solve for x
   x = 83,802,156.16/10,499.47
6. Step 6: Final answer
   x = 7,981.56