Finding the Fourth Proportional to 102,347.72, 152,801.92 and 78,205.67

Step by Step Solution

1. Step 1: Write the proportion equation
   102,347.72 : 152,801.92 = 78,205.67 : x
2. Step 2: Convert to fraction form
   102,347.72/152,801.92 = 78,205.67/x
3. Step 3: Cross multiply
   102,347.72x = 152,801.92 × 78,205.67
4. Step 4: Simplify right side
   102,347.72x = 11,949,977,150.52
5. Step 5: Solve for x
   x = 11,949,977,150.52/102,347.72
6. Step 6: Final answer
   x = 116,758.60