Finding the Fourth Proportional to 65,085.36, 97,684.20 and 31,830

Step by Step Solution

1. Step 1: Write the proportion equation
   65,085.36 : 97,684.20 = 31,830 : x
2. Step 2: Convert to fraction form
   65,085.36/97,684.20 = 31,830/x
3. Step 3: Cross multiply
   65,085.36x = 97,684.20 × 31,830
4. Step 4: Simplify right side
   65,085.36x = 3,109,288,086
5. Step 5: Solve for x
   x = 3,109,288,086/65,085.36
6. Step 6: Final answer
   x = 47,772.47