Finding the Fourth Proportional to 9,634.96, 13,292.31 and 7,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,634.96 : 13,292.31 = 7,637.50 : x
2. Step 2: Convert to fraction form
   9,634.96/13,292.31 = 7,637.50/x
3. Step 3: Cross multiply
   9,634.96x = 13,292.31 × 7,637.50
4. Step 4: Simplify right side
   9,634.96x = 101,520,017.63
5. Step 5: Solve for x
   x = 101,520,017.63/9,634.96
6. Step 6: Final answer
   x = 10,536.63