Finding the Fourth Proportional to 10,807.76, 14,916.35 and 7,822.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,807.76 : 14,916.35 = 7,822.51 : x
2. Step 2: Convert to fraction form
   10,807.76/14,916.35 = 7,822.51/x
3. Step 3: Cross multiply
   10,807.76x = 14,916.35 × 7,822.51
4. Step 4: Simplify right side
   10,807.76x = 116,683,279.30
5. Step 5: Solve for x
   x = 116,683,279.30/10,807.76
6. Step 6: Final answer
   x = 10,796.25