Finding the Fourth Proportional to 2,602.72, 3,905.64 and 1,507.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.72 : 3,905.64 = 1,507.60 : x
2. Step 2: Convert to fraction form
   2,602.72/3,905.64 = 1,507.60/x
3. Step 3: Cross multiply
   2,602.72x = 3,905.64 × 1,507.60
4. Step 4: Simplify right side
   2,602.72x = 5,888,142.86
5. Step 5: Solve for x
   x = 5,888,142.86/2,602.72
6. Step 6: Final answer
   x = 2,262.30