Finding the Fourth Proportional to 13,770.69, 19,002.06 and 7,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770.69 : 19,002.06 = 7,802.25 : x
2. Step 2: Convert to fraction form
   13,770.69/19,002.06 = 7,802.25/x
3. Step 3: Cross multiply
   13,770.69x = 19,002.06 × 7,802.25
4. Step 4: Simplify right side
   13,770.69x = 148,258,822.64
5. Step 5: Solve for x
   x = 148,258,822.64/13,770.69
6. Step 6: Final answer
   x = 10,766.26