Finding the Fourth Proportional to 9,654.34, 13,324.29 and 5,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,654.34 : 13,324.29 = 5,462.50 : x
2. Step 2: Convert to fraction form
   9,654.34/13,324.29 = 5,462.50/x
3. Step 3: Cross multiply
   9,654.34x = 13,324.29 × 5,462.50
4. Step 4: Simplify right side
   9,654.34x = 72,783,934.13
5. Step 5: Solve for x
   x = 72,783,934.13/9,654.34
6. Step 6: Final answer
   x = 7,538.99