Finding the Fourth Proportional to 10,013.50, 13,807.49 and 8,191.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.50 : 13,807.49 = 8,191.00 : x
2. Step 2: Convert to fraction form
   10,013.50/13,807.49 = 8,191.00/x
3. Step 3: Cross multiply
   10,013.50x = 13,807.49 × 8,191.00
4. Step 4: Simplify right side
   10,013.50x = 113,097,111.10
5. Step 5: Solve for x
   x = 113,097,111.10/10,013.50
6. Step 6: Final answer
   x = 11,294.47