Finding the Fourth Proportional to 9,385.25, 12,948.50 and 5,406.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.25 : 12,948.50 = 5,406.27 : x
2. Step 2: Convert to fraction form
   9,385.25/12,948.50 = 5,406.27/x
3. Step 3: Cross multiply
   9,385.25x = 12,948.50 × 5,406.27
4. Step 4: Simplify right side
   9,385.25x = 70,003,087.10
5. Step 5: Solve for x
   x = 70,003,087.10/9,385.25
6. Step 6: Final answer
   x = 7,458.84