Finding the Fourth Proportional to 1,345.50, 1,856.82 and 821.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.50 : 1,856.82 = 821.82 : x
2. Step 2: Convert to fraction form
   1,345.50/1,856.82 = 821.82/x
3. Step 3: Cross multiply
   1,345.50x = 1,856.82 × 821.82
4. Step 4: Simplify right side
   1,345.50x = 1,525,971.81
5. Step 5: Solve for x
   x = 1,525,971.81/1,345.50
6. Step 6: Final answer
   x = 1,134.13