Finding the Fourth Proportional to 9,675.61, 13,351.56 and 5,426.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,675.61 : 13,351.56 = 5,426.10 : x
2. Step 2: Convert to fraction form
   9,675.61/13,351.56 = 5,426.10/x
3. Step 3: Cross multiply
   9,675.61x = 13,351.56 × 5,426.10
4. Step 4: Simplify right side
   9,675.61x = 72,446,828.91
5. Step 5: Solve for x
   x = 72,446,828.91/9,675.61
6. Step 6: Final answer
   x = 7,487.57