Finding the Fourth Proportional to 9,123.84, 13,691.16 and 3,858.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,123.84 : 13,691.16 = 3,858.55 : x
2. Step 2: Convert to fraction form
   9,123.84/13,691.16 = 3,858.55/x
3. Step 3: Cross multiply
   9,123.84x = 13,691.16 × 3,858.55
4. Step 4: Simplify right side
   9,123.84x = 52,828,068.20
5. Step 5: Solve for x
   x = 52,828,068.20/9,123.84
6. Step 6: Final answer
   x = 5,790.11