Finding the Fourth Proportional to 13,770.18, 19,002.24 and 7,801.74

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770.18 : 19,002.24 = 7,801.74 : x
2. Step 2: Convert to fraction form
   13,770.18/19,002.24 = 7,801.74/x
3. Step 3: Cross multiply
   13,770.18x = 19,002.24 × 7,801.74
4. Step 4: Simplify right side
   13,770.18x = 148,250,535.90
5. Step 5: Solve for x
   x = 148,250,535.90/13,770.18
6. Step 6: Final answer
   x = 10,766.06