Finding the Fourth Proportional to 17,638.95, 26,460.59 and 7,780.71

Step by Step Solution

1. Step 1: Write the proportion equation
   17,638.95 : 26,460.59 = 7,780.71 : x
2. Step 2: Convert to fraction form
   17,638.95/26,460.59 = 7,780.71/x
3. Step 3: Cross multiply
   17,638.95x = 26,460.59 × 7,780.71
4. Step 4: Simplify right side
   17,638.95x = 205,882,138.32
5. Step 5: Solve for x
   x = 205,882,138.32/17,638.95
6. Step 6: Final answer
   x = 11,672.02