Finding the Fourth Proportional to 10,512.32, 14,506.97 and 5,796.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,512.32 : 14,506.97 = 5,796.59 : x
2. Step 2: Convert to fraction form
   10,512.32/14,506.97 = 5,796.59/x
3. Step 3: Cross multiply
   10,512.32x = 14,506.97 × 5,796.59
4. Step 4: Simplify right side
   10,512.32x = 84,090,855.71
5. Step 5: Solve for x
   x = 84,090,855.71/10,512.32
6. Step 6: Final answer
   x = 7,999.27