Finding the Fourth Proportional to 31,076.38, 46,615.08 and 7,702.84

Step by Step Solution

1. Step 1: Write the proportion equation
   31,076.38 : 46,615.08 = 7,702.84 : x
2. Step 2: Convert to fraction form
   31,076.38/46,615.08 = 7,702.84/x
3. Step 3: Cross multiply
   31,076.38x = 46,615.08 × 7,702.84
4. Step 4: Simplify right side
   31,076.38x = 359,068,502.83
5. Step 5: Solve for x
   x = 359,068,502.83/31,076.38
6. Step 6: Final answer
   x = 11,554.39