Finding the Fourth Proportional to 10,489.50, 14,475.51 and 5,773.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,489.50 : 14,475.51 = 5,773.78 : x
2. Step 2: Convert to fraction form
   10,489.50/14,475.51 = 5,773.78/x
3. Step 3: Cross multiply
   10,489.50x = 14,475.51 × 5,773.78
4. Step 4: Simplify right side
   10,489.50x = 83,578,428.22
5. Step 5: Solve for x
   x = 83,578,428.22/10,489.50
6. Step 6: Final answer
   x = 7,967.82