Finding the Fourth Proportional to 9,421.50, 13,002.87 and 5,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,421.50 : 13,002.87 = 5,695.50 : x
2. Step 2: Convert to fraction form
   9,421.50/13,002.87 = 5,695.50/x
3. Step 3: Cross multiply
   9,421.50x = 13,002.87 × 5,695.50
4. Step 4: Simplify right side
   9,421.50x = 74,057,846.09
5. Step 5: Solve for x
   x = 74,057,846.09/9,421.50
6. Step 6: Final answer
   x = 7,860.52