Finding the Fourth Proportional to 9,685.02, 13,367.34 and 5,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.02 : 13,367.34 = 5,707.50 : x
2. Step 2: Convert to fraction form
   9,685.02/13,367.34 = 5,707.50/x
3. Step 3: Cross multiply
   9,685.02x = 13,367.34 × 5,707.50
4. Step 4: Simplify right side
   9,685.02x = 76,294,093.05
5. Step 5: Solve for x
   x = 76,294,093.05/9,685.02
6. Step 6: Final answer
   x = 7,877.54