Finding the Fourth Proportional to 10,531.78, 14,533.98 and 5,816.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,531.78 : 14,533.98 = 5,816.05 : x
2. Step 2: Convert to fraction form
   10,531.78/14,533.98 = 5,816.05/x
3. Step 3: Cross multiply
   10,531.78x = 14,533.98 × 5,816.05
4. Step 4: Simplify right side
   10,531.78x = 84,530,354.38
5. Step 5: Solve for x
   x = 84,530,354.38/10,531.78
6. Step 6: Final answer
   x = 8,026.22