Finding the Fourth Proportional to 11,802.17, 16,296.84 and 7,840.98

Step by Step Solution

1. Step 1: Write the proportion equation
   11,802.17 : 16,296.84 = 7,840.98 : x
2. Step 2: Convert to fraction form
   11,802.17/16,296.84 = 7,840.98/x
3. Step 3: Cross multiply
   11,802.17x = 16,296.84 × 7,840.98
4. Step 4: Simplify right side
   11,802.17x = 127,783,196.50
5. Step 5: Solve for x
   x = 127,783,196.50/11,802.17
6. Step 6: Final answer
   x = 10,827.09