Finding the Fourth Proportional to 9,779.84, 13,499.16 and 7,803.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,779.84 : 13,499.16 = 7,803.98 : x
2. Step 2: Convert to fraction form
   9,779.84/13,499.16 = 7,803.98/x
3. Step 3: Cross multiply
   9,779.84x = 13,499.16 × 7,803.98
4. Step 4: Simplify right side
   9,779.84x = 105,347,174.66
5. Step 5: Solve for x
   x = 105,347,174.66/9,779.84
6. Step 6: Final answer
   x = 10,771.87