Finding the Fourth Proportional to 10,302.56, 14,216.59 and 5,826.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.56 : 14,216.59 = 5,826.70 : x
2. Step 2: Convert to fraction form
   10,302.56/14,216.59 = 5,826.70/x
3. Step 3: Cross multiply
   10,302.56x = 14,216.59 × 5,826.70
4. Step 4: Simplify right side
   10,302.56x = 82,835,804.95
5. Step 5: Solve for x
   x = 82,835,804.95/10,302.56
6. Step 6: Final answer
   x = 8,040.31