Finding the Fourth Proportional to 10,256.19, 14,153.60 and 5,780.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.19 : 14,153.60 = 5,780.01 : x
2. Step 2: Convert to fraction form
   10,256.19/14,153.60 = 5,780.01/x
3. Step 3: Cross multiply
   10,256.19x = 14,153.60 × 5,780.01
4. Step 4: Simplify right side
   10,256.19x = 81,807,949.54
5. Step 5: Solve for x
   x = 81,807,949.54/10,256.19
6. Step 6: Final answer
   x = 7,976.45