Finding the Fourth Proportional to 10,536.06, 14,539.59 and 5,820.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.06 : 14,539.59 = 5,820.78 : x
2. Step 2: Convert to fraction form
   10,536.06/14,539.59 = 5,820.78/x
3. Step 3: Cross multiply
   10,536.06x = 14,539.59 × 5,820.78
4. Step 4: Simplify right side
   10,536.06x = 84,631,754.68
5. Step 5: Solve for x
   x = 84,631,754.68/10,536.06
6. Step 6: Final answer
   x = 8,032.58