Finding the Fourth Proportional to 10,256.13, 14,154.71 and 5,780.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.13 : 14,154.71 = 5,780.75 : x
2. Step 2: Convert to fraction form
   10,256.13/14,154.71 = 5,780.75/x
3. Step 3: Cross multiply
   10,256.13x = 14,154.71 × 5,780.75
4. Step 4: Simplify right side
   10,256.13x = 81,824,740.16
5. Step 5: Solve for x
   x = 81,824,740.16/10,256.13
6. Step 6: Final answer
   x = 7,978.13