Finding the Fourth Proportional to 10,256.59, 14,153.65 and 5,780.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.59 : 14,153.65 = 5,780.31 : x
2. Step 2: Convert to fraction form
   10,256.59/14,153.65 = 5,780.31/x
3. Step 3: Cross multiply
   10,256.59x = 14,153.65 × 5,780.31
4. Step 4: Simplify right side
   10,256.59x = 81,812,484.63
5. Step 5: Solve for x
   x = 81,812,484.63/10,256.59
6. Step 6: Final answer
   x = 7,976.58