Finding the Fourth Proportional to 9,184.61, 12,674.75 and 5,206.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,184.61 : 12,674.75 = 5,206.10 : x
2. Step 2: Convert to fraction form
   9,184.61/12,674.75 = 5,206.10/x
3. Step 3: Cross multiply
   9,184.61x = 12,674.75 × 5,206.10
4. Step 4: Simplify right side
   9,184.61x = 65,985,926.57
5. Step 5: Solve for x
   x = 65,985,926.57/9,184.61
6. Step 6: Final answer
   x = 7,184.41