Finding the Fourth Proportional to 7,156.41, 9,864.43 and 5,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,156.41 : 9,864.43 = 5,641.50 : x
2. Step 2: Convert to fraction form
   7,156.41/9,864.43 = 5,641.50/x
3. Step 3: Cross multiply
   7,156.41x = 9,864.43 × 5,641.50
4. Step 4: Simplify right side
   7,156.41x = 55,650,104.32
5. Step 5: Solve for x
   x = 55,650,104.32/7,156.41
6. Step 6: Final answer
   x = 7,776.27