Finding the Fourth Proportional to 6,470.16, 8,929.89 and 5,075.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,470.16 : 8,929.89 = 5,075.34 : x
2. Step 2: Convert to fraction form
   6,470.16/8,929.89 = 5,075.34/x
3. Step 3: Cross multiply
   6,470.16x = 8,929.89 × 5,075.34
4. Step 4: Simplify right side
   6,470.16x = 45,322,227.91
5. Step 5: Solve for x
   x = 45,322,227.91/6,470.16
6. Step 6: Final answer
   x = 7,004.81