Finding the Fourth Proportional to 6,994.94, 10,498.89 and 3,534.62

Step by Step Solution

1. Step 1: Write the proportion equation
   6,994.94 : 10,498.89 = 3,534.62 : x
2. Step 2: Convert to fraction form
   6,994.94/10,498.89 = 3,534.62/x
3. Step 3: Cross multiply
   6,994.94x = 10,498.89 × 3,534.62
4. Step 4: Simplify right side
   6,994.94x = 37,109,586.57
5. Step 5: Solve for x
   x = 37,109,586.57/6,994.94
6. Step 6: Final answer
   x = 5,305.20