Finding the Fourth Proportional to 978.00, 1,346.14 and 846.78

Step by Step Solution

1. Step 1: Write the proportion equation
   978.00 : 1,346.14 = 846.78 : x
2. Step 2: Convert to fraction form
   978.00/1,346.14 = 846.78/x
3. Step 3: Cross multiply
   978.00x = 1,346.14 × 846.78
4. Step 4: Simplify right side
   978.00x = 1,139,886.61
5. Step 5: Solve for x
   x = 1,139,886.61/978.00
6. Step 6: Final answer
   x = 1,165.53