Finding the Fourth Proportional to 6,945.30, 9,585.18 and 4,711.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,945.30 : 9,585.18 = 4,711.86 : x
2. Step 2: Convert to fraction form
   6,945.30/9,585.18 = 4,711.86/x
3. Step 3: Cross multiply
   6,945.30x = 9,585.18 × 4,711.86
4. Step 4: Simplify right side
   6,945.30x = 45,164,026.23
5. Step 5: Solve for x
   x = 45,164,026.23/6,945.30
6. Step 6: Final answer
   x = 6,502.82