Finding the Fourth Proportional to 1,345.52, 1,856.81 and 785.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.52 : 1,856.81 = 785.78 : x
2. Step 2: Convert to fraction form
   1,345.52/1,856.81 = 785.78/x
3. Step 3: Cross multiply
   1,345.52x = 1,856.81 × 785.78
4. Step 4: Simplify right side
   1,345.52x = 1,459,051.71
5. Step 5: Solve for x
   x = 1,459,051.71/1,345.52
6. Step 6: Final answer
   x = 1,084.38