Finding the Fourth Proportional to 13,141, 19,705.56 and 3,778.87

Step by Step Solution

1. Step 1: Write the proportion equation
   13,141 : 19,705.56 = 3,778.87 : x
2. Step 2: Convert to fraction form
   13,141/19,705.56 = 3,778.87/x
3. Step 3: Cross multiply
   13,141x = 19,705.56 × 3,778.87
4. Step 4: Simplify right side
   13,141x = 74,464,749.52
5. Step 5: Solve for x
   x = 74,464,749.52/13,141
6. Step 6: Final answer
   x = 5,666.60