Finding the Fourth Proportional to 6,946.68, 10,407.86 and 5,784.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,946.68 : 10,407.86 = 5,784.15 : x
2. Step 2: Convert to fraction form
   6,946.68/10,407.86 = 5,784.15/x
3. Step 3: Cross multiply
   6,946.68x = 10,407.86 × 5,784.15
4. Step 4: Simplify right side
   6,946.68x = 60,200,594.50
5. Step 5: Solve for x
   x = 60,200,594.50/6,946.68
6. Step 6: Final answer
   x = 8,666.10