Finding the Fourth Proportional to 9,664.54, 13,347.59 and 7,782.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.54 : 13,347.59 = 7,782.37 : x
2. Step 2: Convert to fraction form
   9,664.54/13,347.59 = 7,782.37/x
3. Step 3: Cross multiply
   9,664.54x = 13,347.59 × 7,782.37
4. Step 4: Simplify right side
   9,664.54x = 103,875,811.71
5. Step 5: Solve for x
   x = 103,875,811.71/9,664.54
6. Step 6: Final answer
   x = 10,748.14