Finding the Fourth Proportional to 9,876.61, 14,811.89 and 5,194.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,876.61 : 14,811.89 = 5,194.07 : x
2. Step 2: Convert to fraction form
   9,876.61/14,811.89 = 5,194.07/x
3. Step 3: Cross multiply
   9,876.61x = 14,811.89 × 5,194.07
4. Step 4: Simplify right side
   9,876.61x = 76,934,043.51
5. Step 5: Solve for x
   x = 76,934,043.51/9,876.61
6. Step 6: Final answer
   x = 7,789.52