Finding the Fourth Proportional to 13,111.02, 19,675.05 and 7,842.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,111.02 : 19,675.05 = 7,842.06 : x
2. Step 2: Convert to fraction form
   13,111.02/19,675.05 = 7,842.06/x
3. Step 3: Cross multiply
   13,111.02x = 19,675.05 × 7,842.06
4. Step 4: Simplify right side
   13,111.02x = 154,292,922.60
5. Step 5: Solve for x
   x = 154,292,922.60/13,111.02
6. Step 6: Final answer
   x = 11,768.19