Finding the Fourth Proportional to 8,966.74, 12,368.34 and 5,784.10

Step by Step Solution

1. Step 1: Write the proportion equation
   8,966.74 : 12,368.34 = 5,784.10 : x
2. Step 2: Convert to fraction form
   8,966.74/12,368.34 = 5,784.10/x
3. Step 3: Cross multiply
   8,966.74x = 12,368.34 × 5,784.10
4. Step 4: Simplify right side
   8,966.74x = 71,539,715.39
5. Step 5: Solve for x
   x = 71,539,715.39/8,966.74
6. Step 6: Final answer
   x = 7,978.34