Finding the Fourth Proportional to 12,788.18, 17,647.64 and 7,123.00

Step by Step Solution

1. Step 1: Write the proportion equation
   12,788.18 : 17,647.64 = 7,123.00 : x
2. Step 2: Convert to fraction form
   12,788.18/17,647.64 = 7,123.00/x
3. Step 3: Cross multiply
   12,788.18x = 17,647.64 × 7,123.00
4. Step 4: Simplify right side
   12,788.18x = 125,704,113.41
5. Step 5: Solve for x
   x = 125,704,113.41/12,788.18
6. Step 6: Final answer
   x = 9,829.71