Finding the Fourth Proportional to 13,820.38, 19,071.91 and 7,770.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,820.38 : 19,071.91 = 7,770.63 : x
2. Step 2: Convert to fraction form
   13,820.38/19,071.91 = 7,770.63/x
3. Step 3: Cross multiply
   13,820.38x = 19,071.91 × 7,770.63
4. Step 4: Simplify right side
   13,820.38x = 148,200,717.16
5. Step 5: Solve for x
   x = 148,200,717.16/13,820.38
6. Step 6: Final answer
   x = 10,723.35