Finding the Fourth Proportional to 10,256.84, 14,154.18 and 5,780.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.84 : 14,154.18 = 5,780.52 : x
2. Step 2: Convert to fraction form
   10,256.84/14,154.18 = 5,780.52/x
3. Step 3: Cross multiply
   10,256.84x = 14,154.18 × 5,780.52
4. Step 4: Simplify right side
   10,256.84x = 81,818,520.57
5. Step 5: Solve for x
   x = 81,818,520.57/10,256.84
6. Step 6: Final answer
   x = 7,976.97