Finding the Fourth Proportional to 1,533.86, 2,298.17 and 841.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.86 : 2,298.17 = 841.02 : x
2. Step 2: Convert to fraction form
   1,533.86/2,298.17 = 841.02/x
3. Step 3: Cross multiply
   1,533.86x = 2,298.17 × 841.02
4. Step 4: Simplify right side
   1,533.86x = 1,932,802.73
5. Step 5: Solve for x
   x = 1,932,802.73/1,533.86
6. Step 6: Final answer
   x = 1,260.09