Finding the Fourth Proportional to 10,531.82, 14,533.72 and 5,816

Step by Step Solution

1. Step 1: Write the proportion equation
   10,531.82 : 14,533.72 = 5,816 : x
2. Step 2: Convert to fraction form
   10,531.82/14,533.72 = 5,816/x
3. Step 3: Cross multiply
   10,531.82x = 14,533.72 × 5,816
4. Step 4: Simplify right side
   10,531.82x = 84,528,115.52
5. Step 5: Solve for x
   x = 84,528,115.52/10,531.82
6. Step 6: Final answer
   x = 8,025.97