Finding the Fourth Proportional to 10,254.18, 14,150.82 and 5,778

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.18 : 14,150.82 = 5,778 : x
2. Step 2: Convert to fraction form
   10,254.18/14,150.82 = 5,778/x
3. Step 3: Cross multiply
   10,254.18x = 14,150.82 × 5,778
4. Step 4: Simplify right side
   10,254.18x = 81,763,437.96
5. Step 5: Solve for x
   x = 81,763,437.96/10,254.18
6. Step 6: Final answer
   x = 7,973.67