Finding the Fourth Proportional to 13,748.82, 18,973.89 and 7,780.74

Step by Step Solution

1. Step 1: Write the proportion equation
   13,748.82 : 18,973.89 = 7,780.74 : x
2. Step 2: Convert to fraction form
   13,748.82/18,973.89 = 7,780.74/x
3. Step 3: Cross multiply
   13,748.82x = 18,973.89 × 7,780.74
4. Step 4: Simplify right side
   13,748.82x = 147,630,904.88
5. Step 5: Solve for x
   x = 147,630,904.88/13,748.82
6. Step 6: Final answer
   x = 10,737.71