Finding the Fourth Proportional to 1,542.30, 2,128.16 and 870.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,542.30 : 2,128.16 = 870.02 : x
2. Step 2: Convert to fraction form
   1,542.30/2,128.16 = 870.02/x
3. Step 3: Cross multiply
   1,542.30x = 2,128.16 × 870.02
4. Step 4: Simplify right side
   1,542.30x = 1,851,541.76
5. Step 5: Solve for x
   x = 1,851,541.76/1,542.30
6. Step 6: Final answer
   x = 1,200.51