Finding the Fourth Proportional to 10,356.18, 14,291.58 and 5,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.18 : 14,291.58 = 5,640.50 : x
2. Step 2: Convert to fraction form
   10,356.18/14,291.58 = 5,640.50/x
3. Step 3: Cross multiply
   10,356.18x = 14,291.58 × 5,640.50
4. Step 4: Simplify right side
   10,356.18x = 80,611,656.99
5. Step 5: Solve for x
   x = 80,611,656.99/10,356.18
6. Step 6: Final answer
   x = 7,783.92