Finding the Fourth Proportional to 78,171.12, 107,875.86 and 42,362

Step by Step Solution

1. Step 1: Write the proportion equation
   78,171.12 : 107,875.86 = 42,362 : x
2. Step 2: Convert to fraction form
   78,171.12/107,875.86 = 42,362/x
3. Step 3: Cross multiply
   78,171.12x = 107,875.86 × 42,362
4. Step 4: Simplify right side
   78,171.12x = 4,569,837,181.32
5. Step 5: Solve for x
   x = 4,569,837,181.32/78,171.12
6. Step 6: Final answer
   x = 58,459.41