Finding the Fourth Proportional to 9,381.50, 12,946.88 and 5,189.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,381.50 : 12,946.88 = 5,189.75 : x
2. Step 2: Convert to fraction form
   9,381.50/12,946.88 = 5,189.75/x
3. Step 3: Cross multiply
   9,381.50x = 12,946.88 × 5,189.75
4. Step 4: Simplify right side
   9,381.50x = 67,191,070.48
5. Step 5: Solve for x
   x = 67,191,070.48/9,381.50
6. Step 6: Final answer
   x = 7,162.08