Finding the Fourth Proportional to 7,005.42, 10,498.41 and 3,538.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005.42 : 10,498.41 = 3,538.62 : x
2. Step 2: Convert to fraction form
   7,005.42/10,498.41 = 3,538.62/x
3. Step 3: Cross multiply
   7,005.42x = 10,498.41 × 3,538.62
4. Step 4: Simplify right side
   7,005.42x = 37,149,883.59
5. Step 5: Solve for x
   x = 37,149,883.59/7,005.42
6. Step 6: Final answer
   x = 5,303.02