Finding the Fourth Proportional to 76,402, 105,433.92 and 42,410.76

Step by Step Solution

1. Step 1: Write the proportion equation
   76,402 : 105,433.92 = 42,410.76 : x
2. Step 2: Convert to fraction form
   76,402/105,433.92 = 42,410.76/x
3. Step 3: Cross multiply
   76,402x = 105,433.92 × 42,410.76
4. Step 4: Simplify right side
   76,402x = 4,471,532,676.98
5. Step 5: Solve for x
   x = 4,471,532,676.98/76,402
6. Step 6: Final answer
   x = 58,526.38