Finding the Fourth Proportional to 10,355.82, 14,291.03 and 5,640.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,355.82 : 14,291.03 = 5,640.10 : x
2. Step 2: Convert to fraction form
   10,355.82/14,291.03 = 5,640.10/x
3. Step 3: Cross multiply
   10,355.82x = 14,291.03 × 5,640.10
4. Step 4: Simplify right side
   10,355.82x = 80,602,897.06
5. Step 5: Solve for x
   x = 80,602,897.06/10,355.82
6. Step 6: Final answer
   x = 7,783.34