Finding the Fourth Proportional to 9,386.50, 12,953.97 and 5,407.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,386.50 : 12,953.97 = 5,407.53 : x
2. Step 2: Convert to fraction form
   9,386.50/12,953.97 = 5,407.53/x
3. Step 3: Cross multiply
   9,386.50x = 12,953.97 × 5,407.53
4. Step 4: Simplify right side
   9,386.50x = 70,048,981.39
5. Step 5: Solve for x
   x = 70,048,981.39/9,386.50
6. Step 6: Final answer
   x = 7,462.74