Finding the Fourth Proportional to 13,746.76, 18,970.52 and 7,778.30

Step by Step Solution

1. Step 1: Write the proportion equation
   13,746.76 : 18,970.52 = 7,778.30 : x
2. Step 2: Convert to fraction form
   13,746.76/18,970.52 = 7,778.30/x
3. Step 3: Cross multiply
   13,746.76x = 18,970.52 × 7,778.30
4. Step 4: Simplify right side
   13,746.76x = 147,558,395.72
5. Step 5: Solve for x
   x = 147,558,395.72/13,746.76
6. Step 6: Final answer
   x = 10,734.05