Finding the Fourth Proportional to 10,256.34, 14,153.58 and 5,780.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.34 : 14,153.58 = 5,780.54 : x
2. Step 2: Convert to fraction form
   10,256.34/14,153.58 = 5,780.54/x
3. Step 3: Cross multiply
   10,256.34x = 14,153.58 × 5,780.54
4. Step 4: Simplify right side
   10,256.34x = 81,815,264.57
5. Step 5: Solve for x
   x = 81,815,264.57/10,256.34
6. Step 6: Final answer
   x = 7,977.04