Finding the Fourth Proportional to 10,460.78, 14,435.37 and 5,680.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.78 : 14,435.37 = 5,680.61 : x
2. Step 2: Convert to fraction form
   10,460.78/14,435.37 = 5,680.61/x
3. Step 3: Cross multiply
   10,460.78x = 14,435.37 × 5,680.61
4. Step 4: Simplify right side
   10,460.78x = 82,001,707.18
5. Step 5: Solve for x
   x = 82,001,707.18/10,460.78
6. Step 6: Final answer
   x = 7,838.97