Finding the Fourth Proportional to 114,856.71, 172,109.21 and 77,277.57

Step by Step Solution

1. Step 1: Write the proportion equation
   114,856.71 : 172,109.21 = 77,277.57 : x
2. Step 2: Convert to fraction form
   114,856.71/172,109.21 = 77,277.57/x
3. Step 3: Cross multiply
   114,856.71x = 172,109.21 × 77,277.57
4. Step 4: Simplify right side
   114,856.71x = 13,300,181,137.03
5. Step 5: Solve for x
   x = 13,300,181,137.03/114,856.71
6. Step 6: Final answer
   x = 115,798.03