Finding the Fourth Proportional to 109,642.82, 164,521.86 and 77,827.21

Step by Step Solution

1. Step 1: Write the proportion equation
   109,642.82 : 164,521.86 = 77,827.21 : x
2. Step 2: Convert to fraction form
   109,642.82/164,521.86 = 77,827.21/x
3. Step 3: Cross multiply
   109,642.82x = 164,521.86 × 77,827.21
4. Step 4: Simplify right side
   109,642.82x = 12,804,276,936.51
5. Step 5: Solve for x
   x = 12,804,276,936.51/109,642.82
6. Step 6: Final answer
   x = 116,781.72