Finding the Fourth Proportional to 6,111.64, 9,160.55 and 4,213.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,111.64 : 9,160.55 = 4,213.31 : x
2. Step 2: Convert to fraction form
   6,111.64/9,160.55 = 4,213.31/x
3. Step 3: Cross multiply
   6,111.64x = 9,160.55 × 4,213.31
4. Step 4: Simplify right side
   6,111.64x = 38,596,238.76
5. Step 5: Solve for x
   x = 38,596,238.76/6,111.64
6. Step 6: Final answer
   x = 6,315.20