Finding the Fourth Proportional to 9,153.60, 12,632.61 and 5,174.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,153.60 : 12,632.61 = 5,174.75 : x
2. Step 2: Convert to fraction form
   9,153.60/12,632.61 = 5,174.75/x
3. Step 3: Cross multiply
   9,153.60x = 12,632.61 × 5,174.75
4. Step 4: Simplify right side
   9,153.60x = 65,370,598.60
5. Step 5: Solve for x
   x = 65,370,598.60/9,153.60
6. Step 6: Final answer
   x = 7,141.52