Finding the Fourth Proportional to 10,465.10, 15,684.89 and 5,784.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.10 : 15,684.89 = 5,784.92 : x
2. Step 2: Convert to fraction form
   10,465.10/15,684.89 = 5,784.92/x
3. Step 3: Cross multiply
   10,465.10x = 15,684.89 × 5,784.92
4. Step 4: Simplify right side
   10,465.10x = 90,735,833.86
5. Step 5: Solve for x
   x = 90,735,833.86/10,465.10
6. Step 6: Final answer
   x = 8,670.33