Finding the Fourth Proportional to 109,642.33, 164,521.12 and 77,826.72

Step by Step Solution

1. Step 1: Write the proportion equation
   109,642.33 : 164,521.12 = 77,826.72 : x
2. Step 2: Convert to fraction form
   109,642.33/164,521.12 = 77,826.72/x
3. Step 3: Cross multiply
   109,642.33x = 164,521.12 × 77,826.72
4. Step 4: Simplify right side
   109,642.33x = 12,804,139,140.33
5. Step 5: Solve for x
   x = 12,804,139,140.33/109,642.33
6. Step 6: Final answer
   x = 116,780.98