Finding the Fourth Proportional to 10,460.66, 14,435.77 and 5,680.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.66 : 14,435.77 = 5,680.61 : x
2. Step 2: Convert to fraction form
   10,460.66/14,435.77 = 5,680.61/x
3. Step 3: Cross multiply
   10,460.66x = 14,435.77 × 5,680.61
4. Step 4: Simplify right side
   10,460.66x = 82,004,001.31
5. Step 5: Solve for x
   x = 82,004,001.31/10,460.66
6. Step 6: Final answer
   x = 7,839.27