Finding the Fourth Proportional to 13,730.34, 18,947.77 and 7,762.00

Step by Step Solution

1. Step 1: Write the proportion equation
   13,730.34 : 18,947.77 = 7,762.00 : x
2. Step 2: Convert to fraction form
   13,730.34/18,947.77 = 7,762.00/x
3. Step 3: Cross multiply
   13,730.34x = 18,947.77 × 7,762.00
4. Step 4: Simplify right side
   13,730.34x = 147,072,496.00
5. Step 5: Solve for x
   x = 147,072,496.00/13,730.34
6. Step 6: Final answer
   x = 10,711.50