Finding the Fourth Proportional to 9,386.75, 12,953.72 and 5,407.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,386.75 : 12,953.72 = 5,407.83 : x
2. Step 2: Convert to fraction form
   9,386.75/12,953.72 = 5,407.83/x
3. Step 3: Cross multiply
   9,386.75x = 12,953.72 × 5,407.83
4. Step 4: Simplify right side
   9,386.75x = 70,051,529.15
5. Step 5: Solve for x
   x = 70,051,529.15/9,386.75
6. Step 6: Final answer
   x = 7,462.81