Finding the Fourth Proportional to 9,780.84, 13,500.54 and 7,804.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.84 : 13,500.54 = 7,804.98 : x
2. Step 2: Convert to fraction form
   9,780.84/13,500.54 = 7,804.98/x
3. Step 3: Cross multiply
   9,780.84x = 13,500.54 × 7,804.98
4. Step 4: Simplify right side
   9,780.84x = 105,371,444.69
5. Step 5: Solve for x
   x = 105,371,444.69/9,780.84
6. Step 6: Final answer
   x = 10,773.25