Finding the Fourth Proportional to 9,384.36, 12,953.66 and 5,407.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.36 : 12,953.66 = 5,407.05 : x
2. Step 2: Convert to fraction form
   9,384.36/12,953.66 = 5,407.05/x
3. Step 3: Cross multiply
   9,384.36x = 12,953.66 × 5,407.05
4. Step 4: Simplify right side
   9,384.36x = 70,041,060.27
5. Step 5: Solve for x
   x = 70,041,060.27/9,384.36
6. Step 6: Final answer
   x = 7,463.59