Finding the Fourth Proportional to 10,499.61, 14,489.43 and 5,783.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,499.61 : 14,489.43 = 5,783.89 : x
2. Step 2: Convert to fraction form
   10,499.61/14,489.43 = 5,783.89/x
3. Step 3: Cross multiply
   10,499.61x = 14,489.43 × 5,783.89
4. Step 4: Simplify right side
   10,499.61x = 83,805,269.28
5. Step 5: Solve for x
   x = 83,805,269.28/10,499.61
6. Step 6: Final answer
   x = 7,981.75