Finding the Fourth Proportional to 5,382.63, 8,026.84 and 5,333.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,382.63 : 8,026.84 = 5,333.42 : x
2. Step 2: Convert to fraction form
   5,382.63/8,026.84 = 5,333.42/x
3. Step 3: Cross multiply
   5,382.63x = 8,026.84 × 5,333.42
4. Step 4: Simplify right side
   5,382.63x = 42,810,508.99
5. Step 5: Solve for x
   x = 42,810,508.99/5,382.63
6. Step 6: Final answer
   x = 7,953.46