Finding the Fourth Proportional to 106,538.02, 159,654.72 and 78,236.02

Step by Step Solution

1. Step 1: Write the proportion equation
   106,538.02 : 159,654.72 = 78,236.02 : x
2. Step 2: Convert to fraction form
   106,538.02/159,654.72 = 78,236.02/x
3. Step 3: Cross multiply
   106,538.02x = 159,654.72 × 78,236.02
4. Step 4: Simplify right side
   106,538.02x = 12,490,749,867.01
5. Step 5: Solve for x
   x = 12,490,749,867.01/106,538.02
6. Step 6: Final answer
   x = 117,242.18