Finding the Fourth Proportional to 1,345.52, 1,856.76 and 785.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.52 : 1,856.76 = 785.96 : x
2. Step 2: Convert to fraction form
   1,345.52/1,856.76 = 785.96/x
3. Step 3: Cross multiply
   1,345.52x = 1,856.76 × 785.96
4. Step 4: Simplify right side
   1,345.52x = 1,459,339.09
5. Step 5: Solve for x
   x = 1,459,339.09/1,345.52
6. Step 6: Final answer
   x = 1,084.59