Finding the Fourth Proportional to 13,770.78, 19,002.93 and 7,802.31

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770.78 : 19,002.93 = 7,802.31 : x
2. Step 2: Convert to fraction form
   13,770.78/19,002.93 = 7,802.31/x
3. Step 3: Cross multiply
   13,770.78x = 19,002.93 × 7,802.31
4. Step 4: Simplify right side
   13,770.78x = 148,266,792.77
5. Step 5: Solve for x
   x = 148,266,792.77/13,770.78
6. Step 6: Final answer
   x = 10,766.77