Finding the Fourth Proportional to 9,462.86, 14,189.42 and 5,084.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,462.86 : 14,189.42 = 5,084.00 : x
2. Step 2: Convert to fraction form
   9,462.86/14,189.42 = 5,084.00/x
3. Step 3: Cross multiply
   9,462.86x = 14,189.42 × 5,084.00
4. Step 4: Simplify right side
   9,462.86x = 72,138,914.91
5. Step 5: Solve for x
   x = 72,138,914.91/9,462.86
6. Step 6: Final answer
   x = 7,623.38