Finding the Fourth Proportional to 6,071.60, 9,100.10 and 2,560.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,071.60 : 9,100.10 = 2,560.25 : x
2. Step 2: Convert to fraction form
   6,071.60/9,100.10 = 2,560.25/x
3. Step 3: Cross multiply
   6,071.60x = 9,100.10 × 2,560.25
4. Step 4: Simplify right side
   6,071.60x = 23,298,472.72
5. Step 5: Solve for x
   x = 23,298,472.72/6,071.60
6. Step 6: Final answer
   x = 3,837.29