Finding the Fourth Proportional to 13,770.05, 19,002.30 and 7,802.27

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770.05 : 19,002.30 = 7,802.27 : x
2. Step 2: Convert to fraction form
   13,770.05/19,002.30 = 7,802.27/x
3. Step 3: Cross multiply
   13,770.05x = 19,002.30 × 7,802.27
4. Step 4: Simplify right side
   13,770.05x = 148,261,129.10
5. Step 5: Solve for x
   x = 148,261,129.10/13,770.05
6. Step 6: Final answer
   x = 10,766.93