Finding the Fourth Proportional to 8,470.46, 11,693.32 and 5,642.60

Step by Step Solution

1. Step 1: Write the proportion equation
   8,470.46 : 11,693.32 = 5,642.60 : x
2. Step 2: Convert to fraction form
   8,470.46/11,693.32 = 5,642.60/x
3. Step 3: Cross multiply
   8,470.46x = 11,693.32 × 5,642.60
4. Step 4: Simplify right side
   8,470.46x = 65,980,654.86
5. Step 5: Solve for x
   x = 65,980,654.86/8,470.46
6. Step 6: Final answer
   x = 7,789.51