Finding the Fourth Proportional to 5,100.53, 7,644.65 and 2,634.00

Step by Step Solution

1. Step 1: Write the proportion equation
   5,100.53 : 7,644.65 = 2,634.00 : x
2. Step 2: Convert to fraction form
   5,100.53/7,644.65 = 2,634.00/x
3. Step 3: Cross multiply
   5,100.53x = 7,644.65 × 2,634.00
4. Step 4: Simplify right side
   5,100.53x = 20,136,023.60
5. Step 5: Solve for x
   x = 20,136,023.60/5,100.53
6. Step 6: Final answer
   x = 3,947.83