Finding the Fourth Proportional to 9,780.54, 14,678.70 and 5,101.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.54 : 14,678.70 = 5,101.98 : x
2. Step 2: Convert to fraction form
   9,780.54/14,678.70 = 5,101.98/x
3. Step 3: Cross multiply
   9,780.54x = 14,678.70 × 5,101.98
4. Step 4: Simplify right side
   9,780.54x = 74,890,433.83
5. Step 5: Solve for x
   x = 74,890,433.83/9,780.54
6. Step 6: Final answer
   x = 7,657.09