Finding the Fourth Proportional to 10,356.76, 14,292.35 and 5,641.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.76 : 14,292.35 = 5,641.06 : x
2. Step 2: Convert to fraction form
   10,356.76/14,292.35 = 5,641.06/x
3. Step 3: Cross multiply
   10,356.76x = 14,292.35 × 5,641.06
4. Step 4: Simplify right side
   10,356.76x = 80,624,003.89
5. Step 5: Solve for x
   x = 80,624,003.89/10,356.76
6. Step 6: Final answer
   x = 7,784.67