Finding the Fourth Proportional to 10,256.83, 14,154.72 and 5,780.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.83 : 14,154.72 = 5,780.33 : x
2. Step 2: Convert to fraction form
   10,256.83/14,154.72 = 5,780.33/x
3. Step 3: Cross multiply
   10,256.83x = 14,154.72 × 5,780.33
4. Step 4: Simplify right side
   10,256.83x = 81,818,952.66
5. Step 5: Solve for x
   x = 81,818,952.66/10,256.83
6. Step 6: Final answer
   x = 7,977.02