Finding the Fourth Proportional to 3,101.33, 4,641.59 and 2,546.00

Step by Step Solution

1. Step 1: Write the proportion equation
   3,101.33 : 4,641.59 = 2,546.00 : x
2. Step 2: Convert to fraction form
   3,101.33/4,641.59 = 2,546.00/x
3. Step 3: Cross multiply
   3,101.33x = 4,641.59 × 2,546.00
4. Step 4: Simplify right side
   3,101.33x = 11,817,501.34
5. Step 5: Solve for x
   x = 11,817,501.34/3,101.33
6. Step 6: Final answer
   x = 3,810.47