Finding the Fourth Proportional to 9,148.47, 12,633.86 and 7,814.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,148.47 : 12,633.86 = 7,814.40 : x
2. Step 2: Convert to fraction form
   9,148.47/12,633.86 = 7,814.40/x
3. Step 3: Cross multiply
   9,148.47x = 12,633.86 × 7,814.40
4. Step 4: Simplify right side
   9,148.47x = 98,726,035.58
5. Step 5: Solve for x
   x = 98,726,035.58/9,148.47
6. Step 6: Final answer
   x = 10,791.54