Finding the Fourth Proportional to 10,254.83, 14,151.69 and 5,948.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.83 : 14,151.69 = 5,948.76 : x
2. Step 2: Convert to fraction form
   10,254.83/14,151.69 = 5,948.76/x
3. Step 3: Cross multiply
   10,254.83x = 14,151.69 × 5,948.76
4. Step 4: Simplify right side
   10,254.83x = 84,185,007.40
5. Step 5: Solve for x
   x = 84,185,007.40/10,254.83
6. Step 6: Final answer
   x = 8,209.31