Finding the Fourth Proportional to 2,507.64, 3,760.20 and 947.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.64 : 3,760.20 = 947.58 : x
2. Step 2: Convert to fraction form
   2,507.64/3,760.20 = 947.58/x
3. Step 3: Cross multiply
   2,507.64x = 3,760.20 × 947.58
4. Step 4: Simplify right side
   2,507.64x = 3,563,090.32
5. Step 5: Solve for x
   x = 3,563,090.32/2,507.64
6. Step 6: Final answer
   x = 1,420.89