Finding the Fourth Proportional to 4,219.30, 5,780.34 and 4,061.55

Step by Step Solution

1. Step 1: Write the proportion equation
   4,219.30 : 5,780.34 = 4,061.55 : x
2. Step 2: Convert to fraction form
   4,219.30/5,780.34 = 4,061.55/x
3. Step 3: Cross multiply
   4,219.30x = 5,780.34 × 4,061.55
4. Step 4: Simplify right side
   4,219.30x = 23,477,139.93
5. Step 5: Solve for x
   x = 23,477,139.93/4,219.30
6. Step 6: Final answer
   x = 5,564.23