Finding the Fourth Proportional to 1,415.99, 1,953.77 and 856.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.99 : 1,953.77 = 856.35 : x
2. Step 2: Convert to fraction form
   1,415.99/1,953.77 = 856.35/x
3. Step 3: Cross multiply
   1,415.99x = 1,953.77 × 856.35
4. Step 4: Simplify right side
   1,415.99x = 1,673,106.66
5. Step 5: Solve for x
   x = 1,673,106.66/1,415.99
6. Step 6: Final answer
   x = 1,181.59