Finding the Fourth Proportional to 1,538.52, 2,120.76 and 1,276.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.52 : 2,120.76 = 1,276.08 : x
2. Step 2: Convert to fraction form
   1,538.52/2,120.76 = 1,276.08/x
3. Step 3: Cross multiply
   1,538.52x = 2,120.76 × 1,276.08
4. Step 4: Simplify right side
   1,538.52x = 2,706,259.42
5. Step 5: Solve for x
   x = 2,706,259.42/1,538.52
6. Step 6: Final answer
   x = 1,759.00