Finding the Fourth Proportional to 10,512.06, 14,506.47 and 5,796.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,512.06 : 14,506.47 = 5,796.78 : x
2. Step 2: Convert to fraction form
   10,512.06/14,506.47 = 5,796.78/x
3. Step 3: Cross multiply
   10,512.06x = 14,506.47 × 5,796.78
4. Step 4: Simplify right side
   10,512.06x = 84,090,815.17
5. Step 5: Solve for x
   x = 84,090,815.17/10,512.06
6. Step 6: Final answer
   x = 7,999.46