Finding the Fourth Proportional to 109,640.33, 164,518.12 and 77,824.72

Step by Step Solution

1. Step 1: Write the proportion equation
   109,640.33 : 164,518.12 = 77,824.72 : x
2. Step 2: Convert to fraction form
   109,640.33/164,518.12 = 77,824.72/x
3. Step 3: Cross multiply
   109,640.33x = 164,518.12 × 77,824.72
4. Step 4: Simplify right side
   109,640.33x = 12,803,576,623.93
5. Step 5: Solve for x
   x = 12,803,576,623.93/109,640.33
6. Step 6: Final answer
   x = 116,777.98