Finding the Fourth Proportional to 9,664.56, 13,347.59 and 7,782.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.56 : 13,347.59 = 7,782.35 : x
2. Step 2: Convert to fraction form
   9,664.56/13,347.59 = 7,782.35/x
3. Step 3: Cross multiply
   9,664.56x = 13,347.59 × 7,782.35
4. Step 4: Simplify right side
   9,664.56x = 103,875,511.39
5. Step 5: Solve for x
   x = 103,875,511.39/9,664.56
6. Step 6: Final answer
   x = 10,748.08