Finding the Fourth Proportional to 106,655.82, 160,006.81 and 31,782.00

Step by Step Solution

1. Step 1: Write the proportion equation
   106,655.82 : 160,006.81 = 31,782.00 : x
2. Step 2: Convert to fraction form
   106,655.82/160,006.81 = 31,782.00/x
3. Step 3: Cross multiply
   106,655.82x = 160,006.81 × 31,782.00
4. Step 4: Simplify right side
   106,655.82x = 5,085,336,037.72
5. Step 5: Solve for x
   x = 5,085,336,037.72/106,655.82
6. Step 6: Final answer
   x = 47,679.87