Finding the Fourth Proportional to 150,745.50, 208,031.22 and 83,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,745.50 : 208,031.22 = 83,677.50 : x
2. Step 2: Convert to fraction form
   150,745.50/208,031.22 = 83,677.50/x
3. Step 3: Cross multiply
   150,745.50x = 208,031.22 × 83,677.50
4. Step 4: Simplify right side
   150,745.50x = 17,407,532,411.55
5. Step 5: Solve for x
   x = 17,407,532,411.55/150,745.50
6. Step 6: Final answer
   x = 115,476.30